CALCULUS & VECTORS (Term 2) |
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SPRING TERM |
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Unit 7: Lines, Planes and their Intersections (Chapters 8 & 9) |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
Vectors exam prep Calculus exam prep |
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70 |
Fri, May 18 |
9.4 Intersections of 3 planes, Part II |
Page 533: # 5 - 15 (do enough) |
Mini-test next class |
69 |
Thurs, May 17 |
9.4 Intersections of 3 planes, Part I |
Page 533: # 5 - 15 (do enough) YouTube: Intersections of 3 planes |
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68 |
Wed, May 16 |
9.3 Intersections of 2 planes |
Page 508: # 5c; 6; 8a; 9; 12; 14 (repeated) Page 516: # 4 - 12 YouTube: Intersection of 2 planes |
Test on Thurs, May 24 |
67 |
Tues, May 15 |
9.2 Systems of linear equations and intersections of 2 planes Intro to Gauss-Jordan elimination |
Page 508: # 5c; 6; 8a; 9; 12; 14 (repeated) Page 516: # 4 - 12 YouTube: Elementary row operations KhanAcademy: An example of RREF YouTube: Gauss-Jordan elimination |
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66 |
Mon, May 14 |
9.1 Intersections of line with line and line with plane, Part II |
Page 497: # 4 - 17 |
Mini-test next class |
65 |
Fri, May 11 |
9.1 Intersections of line with line and line with plane |
Page 497: # 4 - 17 |
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64 |
Thurs, May 10 |
Take up questions and Mini-Test |
Page 497: # 4 - 17 |
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63 |
Wed, May 9 |
Page 469: # 6 - 15 KhanAcademy: Point & normal gives plane |
Mini-test next class |
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62 |
Tues, May 8 |
8.4 Vector & parametric equations of a plane |
Page 459: # 6 - 15 Java app: Planes |
Great Java app for planes |
61 |
Mon, May 7 |
8.3 Lines in 3-space |
Page 443: # 6 - 9; 10a,d,f; 11 Page 449: # 3 - 12 YouTube: Lines in 3-space Online demo: Vector eqn of line in 3-space |
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60 |
Fri, May 4 |
8.1/8.2 Lines in 2-space |
Page 433: # 4; 5; 8; 10a; 11; 12 YouTube: Lines in 2-space, Part I YouTube: Lines in 2-space, Part II |
Grad skip day! |
Unit 6: Applications of Vectors (Chapter 7) |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
59 |
Thurs, May 3 |
Test on applications of vectors |
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58 |
Wed, May 2 |
Review and consolidation class |
Page 419: # All, except 31; 33; 37 |
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57 |
Tues, May 1 |
7.7 Applications of dot and cross products |
Page 415: # 3 - 9 YouTube: 2 applications of dot/cross products |
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56 |
Mon, Apr 30 |
7.6 Cross product, Part II 7.7 Applications of dot and cross products |
Page 407: # 3; 4e,f; 5; 7; 8b; 9; 11 Page 415: # 3 - 9 YouTube: Applications of dot/cross products |
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55 |
Fri, Apr 27 |
YouTube: Summary of vectors to today |
Page 407: # 3; 4e,f; 5; 7; 8b; 9; 11 Wolfram Demo: Cross product of two vectors KhanAcademy: Dot vs Cross product |
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54 |
Thurs, Apr 26 |
Page 398: # 6 - 9; 11; 12; 13a; 14 YouTube: Vector projections YouTube:
Practicing projections |
Mini-test next class |
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53 |
Wed, Apr 25 |
7.3/7.4 Dot product of vectors |
Page 386: # 6a,d; 7a; 9b; 10 - 19 |
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52 |
Tues, Apr 24 |
7.3/7.4 Dot product of vectors |
Page 377: # 6a,e,f; 7b; 8; 9; 11 - 13; 15; 16; 17 KhanAcademy: Dot product of vectors YouTube: Dot product of vectors |
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51 |
Mon, Apr 23 |
7.2 Velocity as a vector quantity "Velocity is Relative" website |
Page 369: # 3 - 14 YouTube: Intro to velocity vectors |
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50 |
Fri, Apr 20 |
Engineering statics, Part III |
Engineering statics handout: Page 124: find tensions and compressions in all cables and beams where angles are given: # 4-14 to 4-25 (do enough to understand the various scenarios) |
Mini-test next class (force and statics) |
49 |
Thurs, Apr 19 |
Engineering statics, Part II |
Engineering statics handout: Page 124: find tensions and compressions in all cables and beams where angles are given: # 4-14 to 4-25 (do enough to understand the various scenarios) YouTube: The Arch YouTube: Statics - an engineers approach |
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48 |
Wed, Apr 18 |
Tension and compression; engineering statics |
Engineering statics handout: Page 124: find tensions and compressions in all cables and beams where angles are given: # 4-14 to 4-25 (do enough to understand the various scenarios) YouTube: What is
tension/compression? YouTube: Compression and tension |
This material is not in our textbook, so take copious notes! |
Unit 5: Introduction to Vectors (Chapter 6) |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
47 |
Tues, Apr 17 |
Test on Chapter 6 material |
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46 |
Mon, Apr 16 |
7.1 Force as a vector quantity |
Page 363: # 5; 6; 10 - 14a; 16; 17; 19a KhanAcademy: Inclined plane force components |
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45 |
Fri, Apr 13 |
Consolidation and review class |
Page 344: # 2 - 16; 18 - 26 Chapter Test: p. 348: # 1 - 7 |
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44 |
Thurs, Apr 12 |
Page 340: # 7 - 11; 13; 14; 17 |
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43 |
Wed, Apr 11 |
6.6/6.7 Operations with vectors in 2- and 3-space |
Page 324: # 6b; 7b; 8c; 10 Page 333: # 5d; 6c; 7c; 8; 10; 11 |
Mini-test next class |
42 |
Tues, Apr 10 |
6.5 Algebraic vectors in 2- and 3-space 6.6/6.7 Operations with vectors in 2- and 3-space |
Page 316: # 5 - 10; 14 - 18 Page 324: # 6b; 7b; 8c; 10 Page 333: # 5d; 6c; 7c; 8; 10; 11 |
A good understanding of 3-space is very important |
41 |
Thurs, Apr 5 |
6.5 Algebraic vectors in 2- and 3-space |
Page 316: # 5 - 10; 14 - 18 |
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40 |
Wed, Apr 4 |
6.4 Properties of vectors; mid-chapter review |
Page 307: # 6; 7 - 9; 11 Page 308: # 1 - 3; 6; 7; 13; 14 YouTube: Algebraic representation of vectors |
Mini-test next class |
39 |
Tues, Apr 3 |
6.3 Scalar multiplication; unit vectors |
Page 299: # 5; 6d,e; 7a; 8 - 10; 13 - 15; 21 YouTube: Scalar multiplication of vectors |
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38 |
Mon, Apr 2 |
Page 290: # 1 - 14; 16 YouTube: Vector addition and subtraction YouTube: Vector subtraction graphically |
Learn addition & subtraction well ! |
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37 |
Fri, Mar 30 |
Page 279: # 4; 5; 7 - 11 YouTube: Intro to geometric vectors KhanAcademy:
Vector vs scalar |
Learn the definition of a vector well !! |
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WINTER TERM |
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Unit 4: Optimization and Exponentials & Logarithms (Chapters 3 & 5) |
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# |
DATE |
AGENDA |
HOMEWORK and RESOURCES |
SPECIAL INSTRUCTIONS |
36 |
Thurs, Mar 29 |
Retest on Chapters 3, 4 and 5 |
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35 |
Wed, Mar 28 |
Review for test next class! |
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34 |
Tues, Mar 27 |
Review of entire calculus course! |
Prepare for Thursday's retest! |
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Mar 10 - 26 |
March Break! Have a great holiday!! |
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33 |
Fri, Mar 9 |
5.3 Optimization with exponential functions |
Page 245: # 6; 8; 11; 12; 13 Mid-chapter review: Page 248: # 1 - 13 |
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32 |
Thurs, Mar 8 |
Test on Chapters 3, 4 and 5 |
Music Video: All the derivative rules! |
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31 |
Wed, Mar 7 |
5.5 Derivative of tan(x) |
Page 256: # 1 - 11 (do enough) Page 260: # 1 - 8 YouTube: Trig derivatives and examples |
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30 |
Tues, Mar 6 |
5.2 Derivative of b^x and logarithm functions |
Page 240: # 1a,c,e,f; 2c,d; 4; 6; 8 Handout: p.526: # 2b,f,h; 7f,j; 13c,d p.534: # 3b,h; 5e,j |
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29 |
Mon, Mar 5 |
5.1 Crazy "e", e^x and its derivative |
Read Section 5.1 Page 232: # 2 - 13 (do as many as you can!) |
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28 |
Fri, Mar 2 |
Mini-Test Day! Italy trip - Curve sketching Everyone else: Optimization & 1-D motion |
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27 |
Thurs, Mar 1 |
3.3 Optimization, Part II |
Page 152: # 2 - 7; 9; 10; 12; 14 |
Mini-test next class |
26 |
Wed, Feb 29 |
3.3 Optimization |
Page 145: # 1; 3 - 8; 10 - 12 YouTube: Typical optimization question |
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25 |
Tues, Feb 28 |
Page 136: # 3c,d; 4b,e,f; 5; 7; 9; 11 YouTube: Absolute extrema and examples |
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24 |
Mon, Feb 27 |
3.1 Velocity, acceleration and 1-D motion |
Page 127:# 2; 3a,e,f; 5; 8; 10; 12; 14; 15 YouTube: 1-D motion definitions |
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Unit 3: Curve Sketching (Chapter 4) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
23 |
Fri, Feb 24 |
Mini-Test on Curve Sketching |
Due: Wed, Feb 29 |
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22 |
Thurs, Feb 23 |
Curve sketching, Part II |
Page 212: # 3; 4; 7; 9; 10 |
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21 |
Wed, Feb 22 |
4.5 Curve sketching |
Page 212: # 3; 4; 7; 9; 10 |
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20 |
Tues, Feb 21 |
4.4 Concavity and shape |
Page 205: # 2b,d; 4c; 5b; 8; 9; 11 YouTube: Concavity - worked example YouTube: Second derivative test |
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Feb 17 - 20 |
Winter Mid-Term Break! Have a great holiday!! |
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19 |
Thurs, Feb 16 |
4.2 Relative extrema |
Page 169: # 3; 4d; 5; 6; 8; 10; 11 Page 178: # 3b,c; 5c; 6c; 7c,e,f; 9; 13; 14c,d YouTube: Increasing/decreasing functions YouTube: Critical Points YouTube: First derivative test |
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18 |
Wed, Feb 15 |
Graphical relationship between f(x) and f '(x) |
Page 73: # 1; 15 Page 114: # 2 Page 127: # 2 |
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Unit 2: The Derivative (Chapter 2) |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
17 |
Tues, Feb 14 |
Test on Chapter 2 |
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16 |
Mon, Feb 13 |
Consolidation and review class |
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15 |
Fri, Feb 10 |
Test on Chapter 2 |
Test postponed to Tuesday, Feb 14 !! |
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14 |
Thurs, Feb 9 |
Consolidation and review class |
Review Exercises, P.110: # All Chapter 2 Test, P.114: # All |
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13 |
Wed, Feb 8 |
2.5 The chain rule, Part II |
Page 110: # 4c; 5 - 8; 11a YouTube: Product/chain rule example |
Do lots of chain rule questions! |
12 |
Tues, Feb 7 |
2.5 The chain rule |
Page 105: # 1a,c,e,f; 2b; 4; 5; 8; 9; 11; 13a; 15 YouTube: Chain rule with examples YouTube: Chain rule - alternative explanation |
Mini-test next class |
11 |
Mon, Feb 6 |
Page 97: # 4 - 6; 9b; 10; 11; 14 YouTube: Quotient rule worked example YouTube: Product & quotient rule examples |
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10 |
Fri, Feb 3 |
2.3 The product rule |
Page 91: # 5; 6; 7b; 9; 10 KhanAcademy: Product rule (first 5 minutes only) |
Mini-test next class |
9 |
Thurs, Feb 2 |
2.2 Derivative rules |
Page 82: # 3 - 9; 15; 17; 24 YouTube: Basic derivative rules YouTube: 3
worked examples |
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8 |
Wed, Feb 1 |
2.1 The Derivative YouTube: Derivative from first principles |
Page 74: # 9; 11; 12d; 14; 15; 18 YouTube: Derivative of f at x=a KhanAcademy: Derivative function: intuition module YouTube: Sketching the derivative function Wolfram: Derivative function demo |
The most important idea of the course!! |
Unit 1: Introduction to Calculus |
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# |
DATE |
AGENDA |
HOMEWORK |
SPECIAL INSTRUCTIONS |
7 |
Tues, Jan 31 |
Half-test on Chapter 1 material |
Page 74: # 5 - 8 |
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6 |
Mon, Jan 30 |
Consolidation and review class |
Review Exercises: p. 56: # All |
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5 |
Fri, Jan 27 |
1.6 Continuity |
Page 52: # 4; 5; 8; 10; 13; 16 Page 58: # 13; 15; 17; 18e YouTube: Continuity and discontinuity YouTube: Finding limits with continuity |
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4 |
Thurs, Jan 26 |
Page 45: # 4c; 7 - 9; 10c; 12; 13 Lots of practice is required at this stage YouTube: List of properties of limits YouTube: Properties of limits - examples |
Mini-test next class |
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3 |
Wed, Jan 25 |
1.2 Slope of a tangent, II |
Page 38: # 4 - 8; 10 - 12 YouTube: When do limits exist? YouTube: Finding the limit |
Learn limits well |
2 |
Tues, Jan 24 |
1.3 Reviewing rates of change 1.2 Slope of a tangent line |
Page 29: # 2 - 4; 7; 9; 12; 16 Page 18: # 1b, 2b; 3; 4d,e; 5c; 6c; 8b; 9c; 10b; 11b,c,f; 18 YouTube: Point-slope equation of a line YouTube: Example with Pt-slope equation YouTube: Tangent lines and IROC |
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1 |
Mon, Jan 23 |
An Introduction to Calculus 1.1 Working with rational expressions |
Page 9: # 1c,d; 2b; 3d; 4b; 5b; 6f; 7a,c |
Welcome to Calculus & Vectors! You are about to embark on a great intellectual journey |