Calculus 2 MATH 2300 Fall 2018


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 26

Week 1
Aug 27

Activity: Review of basic antiderivatives


Activity: Indefinite Integral Dominoes


Aug 28

Integration by substitution (5.5)

Activity: Mechanics of u/du subs


Activity: Recognizing u/du subs

Aug 29

Integration by parts (5.6)
Aug 30

HW1

Project 1 - Trig integrals


EWA (5.5)
Aug 31

Integration by parts - continued (5.6)
Sep 1

Sep 2

Week 2
Sep 3

No Class
Labor Day

Sep 4

Trigonometric Integrals (5.7)

EWA (5.6)
Sep 5

Trigonometric Substitutions (5.7)

EWA (5.7) Part 1: Trig Integrals
Sep 6

HW2

Project 2 - Partial Fractions

Sep 7

Partial Fractions (5.7)

EWA (5.7) Part 2: Trig Substitution
Sep 8

Sep 9

Week 3
Sep 10

Activity: Tables, computer algebra systems, and alternate solutions



EWA (5.7) Part 3: Partial Fractions
Sep 11

Approximate Integration (5.9)

Activity: Approximate Integration


Sep 12

Improper Integrals using Limits (5.10)

EWA (5.8)
Sep 13

HW3

Project 3 - Comparison Tests for Improper Integrals



Sep 14

Improper Integrals by Comparison (5.10)

Activity: Choosing a Technique of Integration


EWA (5.9)
Sep 15

Sep 16

Week 4
Sep 17

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

EWA (5.10)
Sep 18

Volumes of Solids by Cross Sections (6.2)

EWA (6.1)
Sep 19

Volumes of Solids of Revolution by Cylindrical Shells (6.3)

Sep 20

HW4

Project 4 - Area and Volume Practice


EWA (6.2)
Sep 21

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

EWA (6.3)
Sep 22

Sep 23


Week 5
Sep 24

Review

Exam 1

(5:15 - 6:45 PM)
Sep 25

Average Value of a Function (6.5)

Sep 26

Applications of Integration: Work and Hydrostatic Pressure (6.6)

Sep 27

HW5

Project 5 - Applications of Integration


EWA (6.5)
Sep 28

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

EWA (6.6) Part 1

Sep 29
Sep 30

Week 6
Oct 1

Sequences (8.1)

EWA (6.6) Part 2
Oct 2

Sequences continued (8.1)

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

Oct 3

Series, Convergence of Series, Divergence Tests (8.2)

EWA (8.1)
Oct 4

HW6

Project 6 - Geometric Series


Oct 5

Geometric Series (8.2)

Oct 6
Oct 7

Week 7
Oct 8

p-series and the Integral Test (8.3)

Activity: Integral Test


EWA (8.2)
Oct 9

p-series and the Integral Test continued (8.3)

Oct 10

Comparison Tests (8.3)

Activity - Comparison Test Discovery


Oct 11

HW7

Project 7 - Comparison Tests: Big Picture


EWA (8.3) Part 1: p-series and Integral Test
Oct 12

Comparison Tests continued (8.3)

Activity: Comparison Test Practice

Oct 13

Oct 14

Week 8
Oct 15

Alternating Series (8.4)

EWA (8.3) Part 2: Comparison Tests
Oct 16

Absolute Convergence and Ratio Test (8.4)


Oct 17

Alternating Series Remainder Estimate (8.4)

EWA (8.4) Part 1: Alternating Series
Oct 18

HW8


Project 8 - Series: Big picture


EWA (8.4) Part 2: Absolute Convergence and Ratio Test
Oct 19

Integral Test Remainder Estimate (8.3)

EWA (8.4) Part 3: Alternating Series Remainder Estimate
Oct 20

Oct 21

Week 9

Review 2-4 PM MATH 100
Oct 22

Review

Exam 2

(5:15 - 6:45 PM)

Activity: Series Matching

Oct 23

Taylor Polynomials (8.7)

Activity: Introduction to Taylor Polynomials

Oct 24

Taylor Polynomials - continued (8.7)

EWA (8.3) Part 3: Integral Test Remainder Estimate
Oct 25

HW9

Project 9 - Recursive Sequences

Oct 26

Power Series (8.5)

Oct 27

Oct 28

Week 10
Oct 29

Power Series - continued (8.5)

Activity: Making New Power Series from Geometric Series


EWA (8.5)
Oct 30

Representing Functions with Power Series (8.6)

Oct 31

Taylor Series (8.7)

EWA (8.6)
Nov 1

HW10

Project 10 - Building New Taylor Series from Old


Nov 2

Taylor Series - continued (8.7)

EWA (8.7) Part 1: Taylor Series
Nov 3

Nov 4

Week 11
Nov 5

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 6

Error in Taylor Series Approximation - continued (8.7)

Nov 7

Error in Taylor Series Approximation - continued (8.7)

Activity: Taylor Polynomial Remainder Estimate Practice



Nov 8

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 9

Differential Equations and Direction Fields (7.1 and 7.2)


Nov 10

Nov 11

Week 12
Nov 12

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

Activity: Slope Field Matching

Nov 13

Euler's Method (7.2)

Activity: Euler's Method


EWA (7.1)
Nov 14

Separable Equations (7.3)

Nov 15

HW12

Project 12 - Torricelli's Law and Separable Differential Equations


EWA (7.2)
Nov 16

Growth and Decay (7.4)

EWA (7.3)
Nov 17

Nov 18 - 24
No Class
Thanksgiving Break

Nov 25

Week 13
Nov 26

The Logistic Equation (7.5)

EWA (7.4)
Nov 27

Parametric Equations (1.7)

Activity: Parametric Matching

Nov 28

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

EWA (7.5)
Nov 29

HW13

Project 13 - SIR Model and Ebola


EWA (1.7)
Nov 30

Calculus of Parametric Equations - continued: Areas enclosed by parametric curves (6.1)
Dec 1

Dec 2

Week 14

Review 2-4 PM MATH 100
Dec 3

Review

Exam 3 -- CANCELLED

(Was 5:15 - 6:45 PM)
Dec 4

Arc Length (6.4)

EWA (3.4), (6.1) Calculus of Parametric Equations
Dec 5

Polar Coordinates (Appendix H.1)

Dec 6

HW14

Project 14 - Polar Coordinate Practice


EWA (6.4)
Dec 7

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

EWA (H.1)
Dec 8

Dec 9

Week 15
Dec 10

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

Dec 11

Review, or,

Modeling with differential equations activity (p.517)

Activity: Modeling with Differential Equations


EWA (H.2)
Dec 12

Review, or,

The FTC review: flow in and flow out


Mixing problems: flow in and flow out Calc 2 style


Dec 13

HW15

Project 15 - Review


Dec 14

No Class
Reading Day

Review 2-3:50 PM MATH 100


Dec 15

Dec 16


Dec 17



Dec 18

Final Exam

(7:30 - 10:00 AM)

Dec 19

Dec 20

Dec 21


Dec 22