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Calculus 2 MATH 2300 Summer 2020


Course Schedule

University of Colorado academic calendar

Note: Homework assignments are listed on the day they are due

Sunday Monday Tuesday Wednesday Thursday           Friday Saturday
May 31

Week 1
June 1

Integration by substitution (5.5)

Activity: Mechanics of u/du subs

Activity: Recognizing u/du subs

Integration by parts (5.6)

June 2

Integration by parts (5.6)

EWA 5.5
June 3

HW 1

Project 1: Trig integrals

Trigonometric Integrals (5.7)

June 4

Trigonometric Substitutions

EWA 5.6
June 5

Partial Fractions (5.7)

EWA 5.7 (Part 1: Trig Integrals)
June 6

June 7

Week 2
June 8

HW 2

Project 2: Partial Fractions

Activity: Approximate Integration

EWA 5.7 (Part 2: Trig Substitution)

June 9

Activity: Choosing a Technique of Integration

Improper Integrals using Limits (5.10)

EWA 5.7 (Part 3: Partial Fractions)
June 10

Improper Integrals using Limits (5.10)

Improper Integrals by Comparison (5.10)

EWA 5.9

June 11

HW 3

Project 3: Comparison Tests for Improper Integrals

Areas of Regions (6.1)

EWA 5.10
June 12

Volumes of Solids of Revolution (6.2)

Volumes of Solids by Cross Sections (6.2)

EWA 6.1

June 13

June 14

Week 3

June 15

Review

Exam 1

5:15 to 6:45 pm
June 16

Volumes of Solids by Cross Sections (6.2)

Activity: Solids with Known Cross Sections

Volumes of Solids of Revolution by Cylindrical Shells (6.3)

EWA 6.2

June 17

Volumes of Solids of Revolution by Cylindrical Shells (6.3)

HW 4

Project 4: Area and Volume Practice

June 18

Applications of Integration: Work (6.6)

Applications of Integration: Moments and Center of Mass (6.6)

June 19

Applications of Integration: Moments and Center of Mass (6.6)

Sequences (8.1)

EWA 6.3

June 20

June 21

Week 4
June 22

HW 5

Project 5: Applications of Integration

Sequences (8.1)

June 23

Activities:
  1. Sorting Rates of Growth,

  2. Sorting Rates of Decay,

  3. Sequences
Series, Convergence of Series, Divergence Tests (8.2)

EWA 6.6 (Part 1)

June 24

Series, Convergence of Series, Divergence Tests (8.2)

Geometric Series (8.2)

EWA 6.6 (Part 2)
June 25

Activity: Integral Test

p-series and the Integral Test (8.3)

EWA 8.1

June 26

HW 6

Project 6: Geometric Series

Activity: Comparison Test Discovery

Comparison Tests (8.3)

EWA 8.2

June 27

June 28

Week 5
June 29

Comparison Tests (8.3)

Activity: Comparison Test Practice

EWA 8.3 (Part 1: p-series and Integral Test)

June 30

Alternating Series (8.4)

Absolute Convergence and Ratio Test (8.4)

EWA 8.3 (Part 2: Comparison Tests)
July 1

HW 7

Project 7: Comparison Tests - Big Picture

Absolute Convergence and Ratio Test (8.4)

EWA 8.4 (Part 1: Alternating Series)
July 2

Alternating Series Remainder Estimate

Taylor Polynomials (8.7)

EWA 8.4 (Part 2: Absolute Convergence and Ratio Test)

July 3

Independence Day

NO SCHOOL

July 4

July 5

Week 6

EWA 8.4 (Part 3: Alternating Series Remainder Estimate)
July 6

Activity: Series Matching

Review

Exam 2

5:15 to 6:45 pm
July 7

Taylor Polynomials (8.7)

Activity: Introduction to Taylor Polynomials

July 8

HW 8

Project 8: Series Convergence Practice

Power Series (8.5)

July 9

Power Series (8.5)

Activity: Making New Power Series from Geometric Series
July 10

Representing Functions with Power Series (8.6)

Taylor Series (8.7)

EWA 8.5

July 11

July 12

Week 7
July 13

HW 9

Project 9: Recursive Sequences

Taylor Series (8.7)

EWA 8.6
July 14

Taylor Series (8.7)

Error in Taylor Series Approximation (8.7)

EWA 8.7 (Part 1: Taylor Series)

July 15

Error in Taylor Series Approximation (8.7)

Alternate Version of Taylor's Inequality

Activity: Taylor Series Matching

EWA 8.7 (Part 2: Taylor Series)

July 16

HW 10

Project 10: Building New Taylor Series from Old

Activity: Taylor Polynomial Remainder Estimate Practice

July 17

Differential Equations and Direction Fields (7.1 and 7.2)

Activity: Modeling with Differential Equations

EWA 8.7 - 8.8 (Part 3: Taylor Series Remainder Estimate)
July 18

July 19

Week 8
July 20

Activity: Slope Field Matching

Euler's Method (7.2)

Activity: Euler's Method

EWA 7.1

July 21

HW 11

Project 11: Taylor Series Application - Area Under Gaussian Curve

Separable Equations (7.3)

July 22

Separable Equations (7.3)

Mixing problems: flow in and flow out Calc 2 style

EWA 7.2

July 23

Growth and Decay (7.4)

The Logistic Equation (7.5)

July 24

HW 12

Project 12: Torricelli's Law and Separable Differential Equations

Parametric Equations (1.7)

Activity: Parametric Matching

EWA 7.3

July 25

July 26

Week 9

EWA 7.4
July 27

Review

Exam 3

5:15 to 6:45 pm
July 28

Parametric Equations (1.7)

Calculus of Parametric Equations (3.4)

July 29

Calculus of Parametric Equations (3.4)

EWA 7.5

July 30

HW 13

Project 13: SIR Model and Ebola

Arc Length and Average Value (6.4 and 6.5)

EWA 1.7
July 31

Arc Length and Average Value (6.4 and 6.5)

Polar Coordinates (Appendix H.1)

EWA (Calculus of Parametric Equations)
August 1

August 2

Week 10
August 3

HW 14

Project 14: Polar Coordinate Practice

Polar Coordinates (Appendix H.1)

EWA 6.4
August 4

Area and Arc Length in Polar Coordinates (Appendix H.2)

EWA 6.5
August 5

Area and Arc Length in Polar Coordinates (Appendix H.2)

Review

EWA Appendix H.1 (Polar Coordinates)

August 6

HW 15

Project 15: Review

EWA (Area and Arc Length in Polar Coordinates)

August 7

Review

Final Exam

3:30 to 6 pm
August 8