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Calculus 2 MATH 2300 Summer 2019


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
June 2

Week 1
June 3

Integration by substitution (5.5)

Activity: Mechanics of u/du subs

Activity: Recognizing u/du subs

Integration by parts (5.6)

June 4

Integration by parts (5.6)

EWA 5.5
June 5

HW 1

Project 1: Trig integrals

Trigonometric Integrals (5.7)

June 6

Trigonometric Substitutions

EWA 5.6
June 7

Partial Fractions (5.7)

EWA 5.7 (Part 1: Trig Integrals)
June 8

June 9

Week 2
June 10

HW 2

Project 2: Partial Fractions

Activity: Approximate Integration

EWA 5.7 (Part 2: Trig Substitution)

June 11

Activity: Choosing a Technique of Integration

Improper Integrals using Limits (5.10)

EWA 5.7 (Part 3: Partial Fractions)
June 12

Improper Integrals using Limits (5.10)

Improper Integrals by Comparison (5.10)

EWA 5.9

June 13

HW 3

Project 3: Comparison Tests for Improper Integrals

Areas of Regions (6.1)

EWA 5.10
June 14

Volumes of Solids of Revolution (6.2)

Volumes of Solids by Cross Sections (6.2)

EWA 6.1

June 15

June 16

Week 3

June 17

Review

Exam 1

June 18

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 19

Volumes of Solids of Revolution by Cylindrical Shells (6.3)

HW 4

Project 4: Area and Volume Practice

June 20

Applications of Integration: Work (6.6)

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

June 21

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

Sequences (8.1)

EWA 6.3

June 22

June 23

Week 4
June 24

HW 5

Project 5: Applications of Integration

Sequences (8.1)

June 25

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 26

Series, Convergence of Series, Divergence Tests (8.2)

Geometric Series (8.2)

EWA 6.6 (Part 2)
June 27

Activity: Integral Test

p-series and the Integral Test (8.3)

EWA 8.1

June 28

HW 6

Project 6: Geometric Series

Activity: Comparison Test Discovery

Comparison Tests (8.3)

EWA 8.2

June 29

June 30

Week 5
July 1

Comparison Tests (8.3)

Activity: Comparison Test Practice

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

July 2

Alternating Series (8.4)

Absolute Convergence and Ratio Test (8.4)

EWA 8.3 (Part 2: Comparison Tests)
July 3

HW 7

Project 7: Comparison Tests - Big Picture

Absolute Convergence and Ratio Test (8.4)

EWA 8.4 (Part 1: Alternating Series)
July 4

Independence Day

NO SCHOOL

July 5

Alternating Series Remainder Estimate

Taylor Polynomials (8.7)

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

July 6

July 7

Week 6

EWA 8.4 (Part 3: Alternating Series Remainder Estimate)
July 8

Review

Exam 2

Activity: Series Matching

July 9

Taylor Polynomials (8.7)

Activity: Introduction to Taylor Polynomials

July 10

HW 8

Project 8: Series Convergence Practice

Power Series (8.5)

July 11

Power Series (8.5)

Activity: Making New Power Series from Geometric Series
July 12

Representing Functions with Power Series (8.6)

Taylor Series (8.7)

EWA 8.5

July 13

July 14

Week 7
July 15

HW 9

Project 9: Recursive Sequences

Taylor Series (8.7)

EWA 8.6
July 16

Taylor Series (8.7)

Error in Taylor Series Approximation (8.7)

EWA 8.7 (Part 1: Taylor Series)

July 17

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 18

HW 10

Project 10: Building New Taylor Series from Old

Activity: Taylor Polynomial Remainder Estimate Practice

July 19

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 20

July 21

Week 8
July 22

Activity: Slope Field Matching

Euler's Method (7.2)

Activity: Euler's Method

EWA 7.1

July 23

HW 11

Project 11: Taylor Series Application - Area Under Gaussian Curve

Separable Equations (7.3)

July 24

Separable Equations (7.3)

Mixing problems: flow in and flow out Calc 2 style

EWA 7.2

July 25

Growth and Decay (7.4)

The Logistic Equation (7.5)

July 26

HW 12

Project 12: Torricelli's Law and Separable Differential Equations

Parametric Equations (1.7)

Activity: Parametric Matching

EWA 7.3

July 27

July 28

Week 9

EWA 7.4
July 29

Review

Exam 3

July 30

Parametric Equations (1.7)

Calculus of Parametric Equations (3.4)

July 31

Calculus of Parametric Equations (3.4)

EWA 7.5

August 1

HW 13

Project 13: SIR Model and Ebola

Arc Length and Average Value (6.4 and 6.5)

EWA 1.7
August 2

Arc Length and Average Value (6.4 and 6.5)

Polar Coordinates (Appendix H.1)

EWA (Calculus of Parametric Equations)
August 3

August 4

Week 10
August 5

HW 14

Project 14: Polar Coordinate Practice

Polar Coordinates (Appendix H.1)

EWA 6.4
August 6

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

EWA 6.5
August 7

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

Review

EWA Appendix H.1 (Polar Coordinates)

August 8

HW 15

Project 15: Review

EWA (Area and Arc Length in Polar Coordinates)

August 9

Final Exam
August 10