Mr.Kodsi_MCV4U

=Welcome to MCV4U1=

Please email me at mourad.kodsi@tdsb.on.ca to let me know how you do in university, when you get there,

1. Uwaterloo CEMC - course modules - http://courseware.cemc.uwaterloo.ca/11?gid=106
 * Helpful Calculus website: **

2. Online Math Notes [[|Calculus I Online]] [[|Calculus I PDF]] [[|Cheat Sheets]]

3. Math with Mr. Leckie [[|PreCalculus]] [[|Calculus]]

4. Calculus I [[|Worksheets]]

5. The Calculus Lifesaver [[|Video Page]]

6. S.O.S. Mathematics [[|Algebra]] [[|Calculus]]

7. Calc101.com Automatic Calculus and Algebra Help [[|Step-by-Step Derivatives]]

8. Ask Dr. Math® [[|Calculus]]

9. The Math Forum @Drexel [[|PreCalculus]] [[|Calculus]] [[|Ask Dr. Math]] [[|Math Topics for Calculus]]

10. Math Department at Dartmouth [[|Calculus RealPlayer Movies]]

11. Calculus Applets [[|Go]]

12. The UBC Calculus Online [[|Course Notes]]

13. Math Applets for Calculus at SLU [[|Go]]

(A special thanks to Iulia & Teodoru Gugoiu for compiling this list).

14. Book - site - @http://seh.ycdsb.ca/teachers/CCostigan/MCV4U1/

** Canadian Scholarships **


 * @http://www.scholarshipscanada.com/
 * @http://www.studentawards.com/
 * Great Link for many scholarships:
 * @http://bml.tldsb.on.ca/wp-content/uploads/sites/2/2009/12/COVER-20141.pdf


 * <span style="background-color: #ffffff; color: #1155cc; font-family: Tahoma; font-size: 13.3333330154419px;">@http://www.tdcanadatrust.com/products-services/banking/student-life/scholarship-for-community-leadership/
 * <span style="background-color: #ffffff; color: #1155cc; font-family: Tahoma; font-size: 13.3333330154419px;">@http://scholarships.rbc.com/Overview.aspx

<span style="background-color: #ffffff; color: #444444; font-family: 'Segoe UI','Lucida Grande',Arial; line-height: 1.5;">Corrected answers for textbook:

__**Unit #1: Limits & Continuity**__ For computations: []

[] || [] || [] ||
 * **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Lesson ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Title ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">HW ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Website ** ||
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">1 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Introduction / Overview/ Diagnostic ||  ||   ||
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">2 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">1.1 - Radical Expressions: Rationalizing Denominators || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Worksheet || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Radical Expressions: Rationalizing (completely factors, does not use difference of squares)
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">3 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">1.2 - The Slope of a Tangent || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Pg. 19 #3-5, 7-10, 15-16 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Tangents
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">4 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">1.3 - Rates of Change || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Pg. 29 #2-4,7-8,10,14 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Rates of Change (step by step lesson)
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">5 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">1.4 - Limit of a Function || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Pg. 37 #3-7 ,9,10,12, 14 || [|Introduction to Limits]


 * __ Limit intro. + summary __**

<span style="background-color: #ffffff; color: #1155cc; font-family: Tahoma; font-size: 13.3333330154419px;">@https://www.youtube.com/watch?v=HYSI-AHUqRM

__** Limit from graph **__

<span style="background-color: #ffffff; color: #1155cc; font-family: Tahoma; font-size: 13.3333330154419px;">@https://www.youtube.com/watch?v=UkjgJQaGx98

**__Limit by factoring__** https://www.youtube.com/watch?v=zpcBkRpqHqQ

__**<span style="background-color: #ffffff; font-family: Tahoma; font-size: 13.3333330154419px; line-height: 1.5;">Limit by conjugating **__ https://www.youtube.com/watch?v=WVj284EvgBI

__** Limit by finding a common denom. **__ https://www.youtube.com/watch?v=g0ni2_P32eo || []
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">6 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">1.5 - Properties of Limits || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Worksheet + <span style="font-family: Arial,sans-serif; font-size: 12pt;">Pg 45 #4-9, 14, 16  || <span style="color: #006699; font-family: Arial,sans-serif; font-size: 9pt;">[|Limit Examples (part 1)]

<span style="color: #006699; font-family: Arial,sans-serif; font-size: 9pt;">[|Limit Examples (part 2)] []

<span style="color: #006699; font-family: Arial,sans-serif; font-size: 9pt;">[|Limit Examples (part3)] []

<span style="font-family: Arial,sans-serif;">[] || [] ||
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">7 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">1.6 – Continuity || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Pg 52 #3-17 || **Defining a Continuous Function - Calculus**
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">8 || <span style="font-family: Arial,sans-serif; font-size: 12pt;">Review || __<span style="font-family: Arial,sans-serif; font-size: 12pt;">Pg 56 # 1-12, 16-19 __ ||  ||
 * <span style="font-family: Arial,sans-serif; font-size: 12pt;">9 || **Assessment (Wed., Feb.11, 2015)** ||  ||   ||


 * Unit #2: Derivatives **

<span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Calculus: Derivatives 2 (new HD version)] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Calculus: Derivatives 2.5 (new HD version)] || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Proof: d/dx(x^n)] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Proof: d/dx(sqrt(x))] || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Chain Rule Examples] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Even More Chain Rule] || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Implicit Differentiation (part 2)] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|More implicit differentiation] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|More chain rule and implicit differentiation intuition] ||
 * **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Lesson ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Title ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">HW ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Website ** ||
 * 10 || 2.1 - The Derivative Function || Page 73 #1, 4, 7b, 9, 14, 16, 19 || [|Calculus: Derivatives 1 (new HD version)]
 * 1 || 2.2 - The Derivatives of Polynomial Functions || Page 82 #(2-4)alt, 5b, 6b, 7a, 8b, 9b, 11, 14, 17, 20, 25iii || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Calculus: Derivatives 3]
 * 2 || 2.3 - The Product Rule || Page 90 # 1alt, 2bc, 4, 5alt, 6, 7, 8b, 11, 14 || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Product Rule] ||
 * 3 || 2.4 - The Quotient Rule || Page 95 #4alt, 5cd, 8, 9a, 11, 14, 16 || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Quotient Rule] ||
 * 4 || 2.5 - The Derivatives of Composite Function || Page 95 #4(alt), 5(alt), 8(alt), 12, 14, 19 || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|The Chain Rule]
 * 5 || (2.6) Implicit Differentiation || Page 564 #2, 3alt, 4-7, 9ab || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Implicit Differentiation]
 * 6 || Review || Pg. 110 #2a, 3, 4abc, 5a-c, 7a, 8, 10a, 12, 13, 15, 22, 23, 28, 29 ||  ||
 * 17 || **Test (Thurs., Feb. 26, 2015)** ||  ||


 * Unit #3: Curve Sketching **

[] || 4.5 - An Algorithm for Curve Sketching || <span style="font-family: Arial,sans-serif;">Page 213 #4begj, 6, 7b, 9 || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Calculus: Graphing Using Derivatives] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Calculus Graphing with Derivatives Example] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Graphing with Calculus] ||
 * **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Lesson ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Title ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">HW ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Website ** ||
 * 18 || 4.1 - Increasing and Decreasing Functions || <span style="font-family: Arial,sans-serif;">Page 169 #1abd, 3, 5, 7, 8, 9bc, 11 || Intervals of Increase & Decreasing
 * 19 || 4.2 - Critical Points, Local Maxima, and Local Minima || <span style="font-family: Arial,sans-serif;">Page 178 #3ab, 5ad, 7adf, 10, 13, 15 || [|Calculus: Maximum and minimum values on an interval] ||
 * 20 || 3.1 – Higher order derivatives || Page 127 #2def, 5, 3be, 10, 11, 14, 18 ||  ||
 * 21 || 4.3 - Vertical and Horizontal Asymptotes || <span style="font-family: Arial,sans-serif;">Page 193 #1ab, 3bd, 4de, 5cd, 7ac, 9bd, 14 ||   ||
 * 22 || 4.4 - Concavity and Points of Inflection || Page 205 #2, 3, 5, 8iab, 9, 10, 11, 12 || [|Inflection Points and Concavity Intuition] ||
 * 23 || Quiz – Friday, March 11, 2011
 * 24 || Review || Pg. 216 #3-5, 7-9, 13-15 ||  ||
 * 5 || **Possible Assessment (Fri., Mar. 13, 2015)** ||  ||   ||


 * Unit #4: Optimization **
 * 36 || 3.1 Displacement Velocity, Acceleration || <span style="font-family: Arial,sans-serif;">Page 245 #3, 5, 6, 10, 11, 12, 13, 14 || http://www.geogebratube.org/student/m45366?mobile=true ||

https://www.youtube.com/watch?v=MC0tq6fNRwU
 * 37 || 3.2 - Minimum and Maximum on an Interval (Extreme Values) || <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Page 135 #1-2, 4-5(alt. all), 6, 9,12 || https://www.youtube.com/watch?v=oYI-wyYoWxc ||
 * 38 || 3.3 - Optimization Problems || <span style="font-family: Calibri,sans-serif; font-size: 11pt;">p. 146 # 1, 3 – 8, 10.
 * 9, 11, 12, 15, 16, 20, 22 || Volume of Box:

https://www.youtube.com/watch?v=cRboY08YG8g

A triangle and a square: https://www.youtube.com/watch?v=IFU7Go6Qg6E https://www.youtube.com/watch?v=eS-_ZFzHjYA || **Pg. 218#10 (b-f)** ||  ||
 * 39 || 3.4 - Optimization Problems in Economics and Science || <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Page 151 #1-4, 6-8, 9, 10, 12, 17 || Cost of a rectangular container https://www.youtube.com/watch?v=tSMuKcN-RKM ||
 * 40 || Review || Pg. 156#5-8, 13-17, 19-24, 26


 * Cum. Test (Thurs., Apr. 2, 2015) **


 * Unit #5: Exponential and Trigonometric Derivatives ****

<span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Proofs of Derivatives of Ln(x) and e^x] || || 5.3 - Optimization Problems Involving Exponential Functions || <span style="font-family: Calibri,sans-serif; font-size: 10pt;">Page 245 #3, 5, 6, 10, 11, 12, 13, 14 || Chapter 5 - midchapter revie || [|Derivatives (part 9)]
 * **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Lesson ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Title ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">HW ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Website ** ||
 * 42 || 5.1 - Derivatives of Exponential Functions, y = e^x || <span style="font-family: Arial,sans-serif;">Pg. 232 #2def, 3cdf, 4abc, 5a, 8, 10a, 16 || <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Proof: d/dx(e^x) = e^x]
 * 43 || 5.2 - The Derivative of the General Exponential Function, y = b^x || <span style="font-family: Arial,sans-serif;">Page 240 #1bd, 2abcd, 3, 4, 6, 8, 9 || [] ||
 * 5 || 5.4 - The Derivatives of y = sin x and y = cos x (Investigation) || Page 256 #1cfj, 2acd, 3b, 5ad, 6c, 11, 12, 14 || **Derivative of** **y = sin f(x) and y = cos f(x)**

https://www.desmos.com/calculator/fc1idbeh2y || [] || || Review || Page 265 #1-10, 12-19, 21,23 || [|Proof: d/dx(ln x) = 1/x] <span style="font-family: Arial,sans-serif; font-size: 10pt;">[|Calculus: Derivative of x^(x^x)] ||
 * 6 || 5.5 - The Derivative of y = tan x || <span style="font-family: Arial,sans-serif;">Page 260 #1ade, 2b, 3abf, 4a, 6, 7, 8 || **The Derivative of y = tan x**
 * 48 || **Cum. Derivative Test (Thurs., Apr. 16, 2015)** ||  ||   ||

** Unit #6: Introduction to Vectors ** On the right hand click on: Trigonometry <span style="font-family: Arial,Helvetica,Verdana,Tahoma,sans-serif; font-size: 12px;">[|Right Triangle Trigonometry] <span style="color: #3d833b; font-family: Arial,Helvetica,Verdana,Tahoma,sans-serif; font-size: 12px;">__Vectors: A Geometric Approach__
 * || Lesson || Hw || Website ||
 * 41 || 6.1 - An Introduction to Vectors || <span style="font-family: Arial,sans-serif;">Pg. 279 #1,4,6,8,9,11 || []

[] (first half only) ||
 * 42 || 6.2 - Vector Addition || <span style="font-family: Arial,sans-serif;">Pg. 290 #2,5,7,12,13,147,16 || []

Applet - Demo []

[] || <span style="font-family: Arial,sans-serif;">15,17,18,21 ||   || Pg. #3,6,7,13,15 || [] || Asimo Video
 * 43 || 6.3 - Multiplication of a Vector by a Scalar || <span style="font-family: Arial,sans-serif;">Pg. 298 #1,4,5,6,7,9,11,13,
 * 44 || 6.4 - Properties of Vectors || Pg. 306 # 1,6,7,8,9
 * 45 || 6.5 - Vectors in R^2 and R^3 || Pg. 316 #1,2,3,5,8,15,16 || [] ||
 * 46 || 6.6 Operations with Algebraic Vectors in R2/ QUIZ (6.1-6.4) || Pg. 324 # 1,3,5,7,11,12,15 || []
 * http://www.youtube.com/watch?v=kFgXEkzMq7A** ||
 * 47 || 6.7 Operations with Vectors in R3 || Pg. 332 # 1,3,5,7,11,12 || Vector Applet
 * http://oame.on.ca/main/files/gr12-2007/MCV4U/3D/3Dplot.htm** ||
 * 48 || 6.8 Linear Combinations and Spanning Sets || Pg. 341 # 7,8,13,14,15  ||   ||
 * 49 || Review || Pg. 344 #2-8, 10-13,15-19, 21-25 || Summary of chapter 6 - http://prezi.com/caqxdcizmoef/untitled-prezi/ ||
 * 50 || **Possible Quiz (Mon., May 4, 2015)** ||  ||   ||

[] (General Physics Website) An applet for velocity of a boat with a current. http://surendranath.tripod.com/Applets/Kinematics/BoatRiver/BoatRiverApplet.html || http://www.falstad.com/dotproduct/ || 11 a,b || []
 * Unit #7: Vector Application **
 * **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Lesson ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Title ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">HW ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Website ** ||
 * 51 || 7.1 - Vectors as Forces || Pg. 362 # 5,6,8,9,11,13,15,16 || [] (for tension) ||
 * 52 || 7.2 - Velocity || Pg. 369 # 1,3,6,9,11,13 || ==[7.2 is combined with 7.1]==
 * 3 || 7.3 - The Dot Product of Two Geometric Vectors || Pg. 377 #5,6,7,9,11 || [] ||
 * 4 || 7.4 - The Dot Product of Algebraic Vectors || Pg. 385 #1,2,4,6,7,10,13,14,17 || []
 * 5 || 7.5 - Scalar and Vector Projections ||  || [] ||
 * 6 || 7.6 The Cross Product of Two Vectors || Pg. 407 # 3, 4alt., 5, 8,

https://www.youtube.com/watch?v=v1RerGVd6C4

<span style="color: #666666; font-family: Arial,sans-serif;">Dot and Cross Product Song - []

ttp://www.phy.syr.edu/courses/java-suite/crosspro.html ||
 * 57 || 7.7 Applications of the Dot Product and Cross Product || P.415 # 3, 5b , 6 , 7a , 8 , 9 || [] ||
 * 8 || Review || Pg. 418# 1, 3, 5-13,15,18,29, 30, ||  ||
 * 59 || **Cum. Test (Tues., May 12, 2015)** ||  ||   ||

** Unit #8 -Line & Planes with Vectors ** <span style="cursor: pointer; margin: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px;">[] (Graphing applet for lines and planes in R^3, just click on the lines tab and on the planes tab)
 * **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Lesson ** || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Title ** ||  **<span style="font-family: Arial,sans-serif; font-size: 12pt;">HW **  || **<span style="font-family: Arial,sans-serif; font-size: 12pt;">Website ** ||
 * 60 || 8.1 - VE and PE of a Line in R^2 || <span style="display: block; font-family: Arial,sans-serif; font-size: 10pt; line-height: 115%; text-align: center;">Page 433 #2-5, 8-11, 13  || []

[] || (Only watch example 1 until 2:34, Scalar & Cartesian equations are the same) || [] || (good demo but the equation form is not the most common) [] ||
 * 62 || 8.2 - Cartesian Equation of a Line || <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Page 443 #1, 3-6, 8,10a-d, 11b, 14  || []
 * 62 || 8.2 - Cartesian Equation of a Line || <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Page 443 #1, 3-6, 8,10a-d, 11b, 14  || []
 * 63 || 8.3 - VE, PE, SE Equations of a Line in R^3 || <span style="display: block; font-family: Calibri,sans-serif; font-size: 15px; text-align: center;">Pg. 449 #1abc, 5acf, 6, 8, 9, 12, 13, 14  || []
 * 64 || 8.4 - Vector and Parametric Equations of a Plane || Page 459 #1, 2, 4, 6b, 7, 9, 10, 15 || []
 * 65 || 8.5 - The Cartesian Equation of a Plane || Page 468 #1, 5, 7, 8, 9a, 11, 13, 17 || [] ||
 * 66 || 8.6 - Sketching Planes in R^3 ||   || []

[] ||
 * 67 || **Review** || Page 480 #1, 3ac, 4, 5ac, 7, 8, 10, 11, 13, 14abc, 15b, 18, 19b, 27, 29, 33. || PROBLEM UPLOADING THE SUMMARY POWERPOINT APOLOGIZES. ||
 * 68 || =====**Test (Tues., May 26, 2015)**===== ||   ||   ||

<span style="background-color: #ffffff; color: #1155cc; font-family: arial,sans-serif; font-size: 12.8000001907349px;">@https://youtu.be/2j5Ic2V7wq4
 * Unit #9 - Intersection of Lines & Planes **
 * 69 || 9.1—The Intersection of a Line with a Plane and the Intersection of 2 lines ||  ||
 * 70 || 9.2—Systems of Equations || Matrix (Gauss-Jordan Elimination) videos:

<span style="background-color: #ffffff; color: #1155cc; font-family: arial,sans-serif; font-size: 12.8000001907349px;">@https://youtu.be/CsTOUbeMPUo || []
 * 71 || 9.3—Intersection of Two Planes ||  ||
 * 72 || 9.4—Intersection of Three Planes ||  ||
 * 73 || 9.5—Distance from a Point to a Line in R2 and R3 ||  ||
 * 74 || 9.6—Distance from a Point to a Plane ||  ||
 * 75 || Review || Matrix solver online

Pg. 552 #2-3, 5-8, 10, 12, 14-16, 19-20, 24 || __**Review Package #3 Question 12**__, the angle between u and v is 60.
 * 76 || =====**Assessment (June 8, 2015****)**===== ||  ||


 * Exam Review from the book:**
 * Calculus - Page 267# 1-30
 * Vectors - Page 557# 1-35

**Calculus Part 2 Notes + homework:**
1. [|Sections 5.1 & 5.2: Antiderivatives and Indefinite Integrals] 2. [|Section 5.3: Definite Integrals and Areas] 3. [|Section 5.6: Integration by Substituion] 4.

<span style="font-family: Arial,sans-serif;">__** Advanced Calculus Videos from Khan Academy (Some links are not working) **__

[|Maxima Minima Slope Intuition] [|Monotonicity Theorem] [|Optimization with Calculus 1] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Optimization with Calculus 2] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Optimization with Calculus 3] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Optimization Example 4] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Introduction to rate-of-change problems] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Equation of a tangent line] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Rates-of-change (part 2)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Ladder rate-of-change problem] [|Mean Value Theorem] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|The Indefinite Integral or Anti-derivative] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Indefinite integrals (part II)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Indefinite Integration (part III)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Indefinite Integration (part IV)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Indefinite Integration (part V)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Integration by Parts (part 6 of Indefinite Integration)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Indefinite Integration (part 7)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Another u-subsitution example] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Introduction to definite integrals] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Definite integrals (part II)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Definite Integrals (area under a curve) (part III)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Definite Integrals (part 4)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Definite Integrals (part 5)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Definite integral with substitution] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Integrals: Trig Substitution 1] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Integrals: Trig Substitution 2] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Integrals: Trig Substitution 3 (long problem)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Introduction to differential equations] [|Sequences and Series (part 1)] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Sequences and series (part 2)] [|Taylor Polynomials] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Exponential Growth] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|AP Calculus BC Exams: 2008 1 a] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|AP Calculus BC Exams: 2008 1 b&c] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|AP Calculus BC Exams: 2008 1 c&d] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|AP Calculus BC Exams: 2008 1 d] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Calculus BC 2008 2 a] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Calculus BC 2008 2 b &c] <span style="border-bottom-style: none; border-left-style: none; border-right-style: none; border-top-style: none; margin-bottom: 0cm; orphans: 2; padding-bottom: 0cm; padding-left: 0cm; padding-right: 0cm; padding-top: 0cm; widows: 2;">[|Calculus BC 2008 2d]

<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 5151px; width: 1px;">