Calculus 2 MATH 2300 Fall 2019


Course Schedule

Calculus 2

MATH 2300

University of Colorado academic calendar

Homework assignments are listed on the day they are due

Sunday Monday Tuesday Wednesday Thursday           Friday Saturday
Aug 25

Week 1
Aug 26

Activity: Review of basic antiderivatives

Activity: Indefinite Integral Dominoes

Aug 27

Integration by substitution (5.5)

Activity: Mechanics of u/du subs

Activity: Recognizing u/du subs
Aug 28

Integration by parts (5.6)
Aug 29

HW1

Project 1 - Trig integrals

EWA (5.5)
Aug 30

Integration by parts - continued (5.6)
Aug 31

Sep 1

Week 2
Sep 2

No Class
Labor Day

Sep 3

Trigonometric Integrals (5.7)

EWA (5.6)
Sep 4

Trigonometric Substitutions (5.7)

EWA (5.7) Part 1: Trig Integrals
Sep 5

HW2

Project 2 - Partial Fractions
Sep 6

Partial Fractions (5.7)

EWA (5.7) Part 2: Trig Substitution
Sep 7

Sep 8

Week 3
Sep 9

Activity: Tables, computer algebra systems, and alternate solutions


EWA (5.7) Part 3: Partial Fractions
Sep 10

Approximate Integration (5.9)

Activity: Approximate Integration

Sep 11

Improper Integrals using Limits (5.10)

EWA (5.8)
Sep 12

HW3

Project 3 - Comparison Tests for Improper Integrals


Sep 13

Improper Integrals by Comparison (5.10)

Activity: Choosing a Technique of Integration

EWA (5.9)
Sep 14

Sep 15

Week 4
Sep 16

Areas of Regions and Volumes of Solids of Revolution (6.2)

EWA (5.10)
Sep 17

Volumes of Solids by Cross Sections (6.2)

Activity: Solids with Known Cross Sections

EWA (6.1)
Sep 18

Volumes of Solids of Revolution by Cylindrical Shells (6.3)

Sep 19

HW4

Project 4 - Area and Volume Practice

EWA (6.2)
Sep 20

Volumes of Solids of Revolution by Cylindrical Shells (6.3) - continued

EWA (6.3)
Sep 21

Sep 22


Week 5
Sep 23

Review

Exam 1

(5:15 - 6:45 PM)
Sep 24

Average Value of a Function (6.5)

Sep 25

Applications of Integration: Work and Hydrostatic Pressure (6.6)

Sep 26

HW5

Project 5 - Applications of Integration

EWA (6.5)
Sep 27

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

EWA (6.6) Part 1

Sep 28
Sep 29

Week 6
Sept 30

Sequences (8.1)

EWA (6.6) Part 2
Oct 1

Sequences continued (8.1)

Activity: Sorting Rates of: (1) Growth,
(2) Decay,
and (3) Sequences
Oct 2

Series, Convergence of Series, Divergence Tests (8.2)

EWA (8.1)
Oct 3

HW6

Project 6 - Geometric Series

Oct 4

Geometric Series (8.2)

Oct 5
Oct 6

Week 7
Oct 7

p-series and the Integral Test (8.3)

Activity: Integral Test

EWA (8.2)
Oct 8

p-series and the Integral Test continued (8.3)

Oct 9

Comparison Tests (8.3)

Activity - Comparison Test Discovery

Oct 10

HW7

Project 7 - Comparison Tests: Big Picture

EWA (8.3) Part 1: p-series and Integral Test
Oct 11

Comparison Tests continued (8.3)

Activity: Comparison Test Practice
Oct 12

Oct 13

Week 8
Oct 14

Alternating Series (8.4)

EWA (8.3) Part 2: Comparison Tests
Oct 15

Absolute Convergence and Ratio Test (8.4)


Oct 16

Alternating Series Remainder Estimate (8.4)

EWA (8.4) Part 1: Alternating Series
Oct 17

HW8


Project 8 - Series: Big picture

EWA (8.4) Part 2: Absolute Convergence and Ratio Test
Oct 18

Integral Test Remainder Estimate (8.3)

EWA (8.4) Part 3: Alternating Series Remainder Estimate
Oct 19

Oct 20

Week 9

Oct 21

Review

Exam 2

(5:15 - 6:45 PM)

Activity: Series Matching
Oct 22

Taylor Polynomials (8.7)

Activity: Introduction to Taylor Polynomials
Oct 23

Taylor Polynomials - continued (8.7)

EWA (8.3) Part 3: Integral Test Remainder Estimate
Oct 24

HW9

Project 9 - Recursive Sequences
Oct 25

Power Series (8.5)

Oct 26

Oct 27

Week 10
Oct 28

Power Series - continued (8.5)

Activity: Making New Power Series from Geometric Series

EWA (8.5)
Oct 29

Representing Functions with Power Series (8.6)

Oct 30

Taylor Series (8.7)

EWA (8.6)
Oct 31

HW10

Project 10 - Building New Taylor Series from Old

Nov 1

Taylor Series - continued (8.7)

EWA (8.7) Part 1: Taylor Series
Nov 2

Nov 3

Week 11
Nov 4

Error in Taylor Series Approximation (8.7)

Alternate Version of Taylor's Inequality

Activity: Taylor Series Matching

EWA (8.7) Part 2: Taylor Series continued
Nov 5

Error in Taylor Series Approximation - continued (8.7)

Nov 6

Error in Taylor Series Approximation - continued (8.7)

Activity: Taylor Polynomial Remainder Estimate Practice


Nov 7

HW11

Project 11 - Taylor Series Application - Approximating area Under Bell Curve

EWA (8.7) Part 3: Taylor Series Remainder Estimate and EWA (8.8)
Nov 8

Differential Equations and Direction Fields (7.1 and 7.2)


Nov 9

Nov 10

Week 12
Nov 11

Differential Equations and Direction Fields (7.1 and 7.2) - continued

Activity: Slope Field Matching
Nov 12

Euler's Method (7.2)

Activity: Euler's Method

EWA (7.1)
Nov 13

Separable Equations (7.3)

Nov 14

HW12

Project 12 - Torricelli's Law and Separable Differential Equations

EWA (7.2)
Nov 15

Growth and Decay (7.4)

EWA (7.3)
Nov 16

Nov 17

Week 13
Nov 18

Review

Exam 3

(5:15 - 6:45 PM)
Nov 19

The Logistic Equation (7.5)

EWA (7.4)
Nov 20

Parametric Equations (1.7)

Activity: Parametric Matching
Nov 21

HW13

Project 13 - SIR Model and Ebola

EWA (1.7)
Nov 22

Calculus of Parametric Equations: Tangents to parametric curves (3.4)

EWA (7.5)
Nov 23

Nov 24 - 30
No Class
Thanksgiving Break

Dec 1

Week 14

Dec 2

Calculus of Parametric Equations - continued: Areas enclosed by parametric curves (6.1)
Dec 3

Arc Length (6.4)

EWA (3.4), (6.1) Calculus of Parametric Equations
Dec 4

Polar Coordinates (Appendix H.1)

Dec 5

HW14

Project 14 - Polar Coordinate Practice

EWA (6.4)
Dec 6

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

EWA (H.1)
Dec 7

Dec 8

Week 15
Dec 9

Area and arclength in polar coordinates - continued (Appendix H.2)

Dec 10

Review, or,

Modeling with differential equations activity (p.517)

Activity: Modeling with Differential Equations

EWA (H.2)
Dec 11

Review, or,

The FTC review: flow in and flow out

Mixing problems: flow in and flow out Calc 2 style

Dec 12

HW15

Project 15 - Review

Dec 13

No Class
Reading Day

Review 2-3:50 PM MATH 100


Dec 14

Dec 15


Dec 16



Dec 17

Dec 18

Final Exam

(7:30 - 10:00 AM)

Dec 19

Dec 20


Dec 21