Math 131 Calculus I

Spring 2018, The Citadel

 

 

 

Syllabus  Schedule  Exams   Gateway

Day

Date

Topic

Notes

Additional Practice

 

 

Function notation

 Get Started with Hawkes

 

 

 

Domain and Range

 

 

 

 

Basic Trig Functions

 

 

 

 

More Trig Functions

 

 

Wednesday

Jan 10

2. 1 The Tangent and Velocity Problems Part 1

Lecture Slides

Lecture Notes

 

Thursday

Jan 11

Review Day

 

Worksheet #1

Worksheet #2

Friday

Jan 12

2. 1 The Tangent and Velocity Problems Part 2

Lecture Slides

Lecture Notes

Tutorial

Monday

Jan 15

NO CLASS

 

 

Tuesday

Jan 16

2.2 The Limit of a function Part 1

Lecture Slides

Lecture Notes 

 Limits Practice

Wednesday

Jan 17

2.2 The Limit of a function Part 2

Notes

 

Thursday

Jan 18

Quiz & Review

 

 

Friday

Jan 19

2.3 Limit Laws

Lecture Slides

Notes 

 

Monday

Jan 22

2.5 Continuity

Lecture Slides

 

 

Tuesday

Jan 23

2.5 Continuity

 

 Continuity Practice

Wednesday

Jan 24

2.6 Limits at Infinity Part 1

Lecture Slides

 

Thursday

Jan 25

Review Day

 

 

Friday

Jan 26

2.6 Limits at Infinity Part 2

 

Monday

Jan 29

2.7 Derivatives and Rates of Change

Lecture Slides

Lecture Notes 

 Derivative tool

Tuesday

Jan 30

2.8 The Derivative as a function Part 1

Lecture Slides

Lecture Notes 

 Derivative practice

Wednesday

Jan 31

2.8 The Derivative as a function Part 2

Lecture Slides

Lecture Notes 

 

Thursday

Feb 1

Review Day

 

 

Friday

Feb 2

Test 1: Chapter 2

 

Monday

Feb 5

3.1 Derivatives of Polynomials

 Lecture Slides

 Gateway Information

Tuesday

Feb 6

3.2 Product Rule

 

 

Wednesday

Feb 7

3.2 Quotient Rule

 

 

Thursday

Feb 8

Review Day

 

 

Friday

Feb 9

Trig review

 

 

Monday

Feb 10

3.3 Derivatives of Trig functions

 

 

Tuesday

Feb 13

3.4 The Chain Rule Part 1

 

 

Wednesday

Feb 14

3.4 The Chain Rule Part 2

 

 

Thursday

Feb 15

Review Day

 

 

Friday

Feb 16

3.5 Implicit Differentiation Part 1

 

 

Monday

Feb 19

3.5 Implicit Differentiation Part 2

 

 

Tuesday

Feb 20

3.6 Derivatives of Logs Part 1

 

 

Wednesday

Feb 21

3.6 Derivatives of Logs Part 2

 

 

Thursday

Feb 22

Gateway Practice with Mr. Thornley

 

 

Friday

Feb 23

Test 2: Chapter 3a

 

 

Monday

Feb 26

3.8 Exponential Growth and Decay

  Lecture Slides

 

Tuesday

Feb 27

3.9 Related Rates

 Lecture Slides

 

Wednesday

Feb 28

3.9  Related Rates

 

 Related Rates

P. 248: 5, 13, 15, 17, 23, 25,29,39

Solutions (scroll to end)

Thursday

Mar 1

Review Day

 

 

Friday

Mar 2

3.10  Linear Approx and differentials

  Notes

Differentials

  Linear approx

 P. 28: 7, 15, 23, 25, 27, 33, 36

Solutions

Monday

Mar 5

4.1 Max and Min values

  Lecture Slides

 Max and Min

Tuesday

Mar 6

4.1 Max and Min values

 

 

Wednesday

Mar 7

4.2 The mean value Theorem

  Lecture Slides

 MVT worksheet

Thursday

Mar 8

Review

 

 

Friday

Mar 9

Gateway Practice

 

 

Monday

Mar 12

Spring Break

 

 

Tuesday

Mar 13

Spring Break

 

 

Wednesday

Mar 14

Spring Break

 

 

Thursday

Mar 15

Spring Break

 

 

Friday

Mar 16

Spring Break

 

 

Monday

Mar 19

4.3  Derivatives and Graphs

 

    Derivative graphs

Tuesday

Mar 20

4.4 Indeterminate Form

 

 

Wednesday

Mar 21

Test 3

 

 Test 3 Prep

Thursday

Mar 22

Gateway day

 

 

Friday

Mar 23

Leadership Symposium

 

 

Monday

Mar 26

4.5 Summary of Curve Sketching

 Guide to curve sketching

Lecture

 Sketch This

Tuesday

Mar 27

4.5 Summary of Curve Sketching

 

 

Wednesday

Mar 28

4.7 Optimization

 Lecture

  Optimization

Thursday

Mar 29

Review day

 

 

Friday

Mar 30

4.7 Optimization

 

 

Monday

Apr 2

4.9Antiderivatives

 Lecture

  Antiderivative 

Tuesday

Apr 3

4.9 Antiderivatives

 

 

Wednesday

Apr 4

5.1 Areas and Distances

 Lecture

 Reimann 1

Thursday

Apr 5

Review day

 

 

Friday

Apr 6

5.1 Areas and Distances

 

 Reimann 2

Monday

Apr 9

Area and Distances

 

 

Tuesday

Apr 10

More Reimann Sums

 

 

Wednesday

Apr 11

Intro to definite integral

 

Thursday

Apr 12

Review day

 

 

Friday

Apr 13

5.2  The Definite Integral

  Lecture Slides

  Reimann 3

Monday

Apr 16

5.2 The Definite Integral

 

 

Tuesday

Apr

17

Test

 

 

Wednesday

Apr

18

5.3  Fundamental Theorem of Calculus

 

 FTC1

Thursday

Apr

19

review

 

 

Friday

Apr

20

5.4 Indefinite Integrals

 

 

Monday

Apr 23

5.5 Substitution

 

 

Tuesday

Apr 24

Review

 

 

 

 

Exam