Woodside Calculus

Instructor: Steve Sisney

Meetings: Fall 2012: Mon 1p, Wed 1:45p, Fri 10:30a

Description: First semester single-variable calculus.

Textbook: E-Z CALCULUS (ISBN:9780764144615 $16.99) The author, Douglas Downing, tells an entertaining story about travels in the fictional land of Carmorra. In the process he introduces a series of problems and solves them by applying principles of calculus. Readers are introduced to derivatives, natural logarithms, exponential functions, differential equations, and much more. Skill-building exercises are presented at the end of every chapter. Douglas Downing earned B.S. and Ph.D. degrees from Yale, and has taught economics at Seattle Pacific University since 1983.

• Course Outline
• Attachments
• Further Reading
• Online Resources
• Lessons
• About

Course Outline

1. Graphs and trigonometric functions
2. Slope of the tangent
3. Calculating derivatives
4. Finding maxima and minima
5. Derivatives of complicated functions
6. Derivatives of Trigonometric Functions
7. Optimum Values and Related Rates

Attachments

• calculus-hw-01.pdf
• calculus-hw-02.pdf
• calculus-study-01.pdf
• calculus-study-02.pdf
• calculus-study-03.pdf
• calculus-study-04-final.pdf

Further Reading

• In Code (2001) Sarah Flannery
• Men of Mathematics (1986) E.T. Bell
• Schaum's Outline of Calculus (2012) Frank Ayres Jr.
• The Man Who Loved Only Numbers (1999) Paul Hoffman

Selected Articles

• The fundamental theorem of calculus
• What happened before the Big Bang?
• Does infinity exist?

Online Resources

• Ask Dr. Math, Mathforum
• MathWorld, Eric Weisstein
• NRICH, Cambridge
• +Plus Magazine, Cambridge
• Women in Math, St. Andrews
• Mathematician of the Day, St. Andrews

Graphing calculators

• Google: x+​2, x^​(1/​2), x^​2, x^​3
• Wolfram Alpha: d/dx sin(x)

Lessons

Lesson 1

Wed 17 Oct 2012

• Review graphs of functions from in-class notes and examples.
• Homework 1 Due Fri 19 Oct 2012: attached calculus-hw-01.pdf.

Lesson 2

Fri 19 Oct 2012

• Continue graphs of functions.

Lesson 3

Mon 22 Oct 2012

• Finish graphs of functions (graph transformations). Begin trigonometric functions.

Lesson 4

Wed 24 Oct 2012

• Finish trigonometric functions.
• Homework 2 Due: Mon 29 Oct 2012: Complete problems attached: calculus-hw-02.pdf. Read pages 2-12 of our text. Complete worksheet on page 13 of our text.

Lesson 5

Mon 29 Oct 2012

• Begin calculus proper: slope of the tangent line
• Homework 5: read Chapter 2 of our text: Calculating derivatives

Lesson 6

Fri 2 Nov 2012

• Discuss Ch. 2: Calculating derivatives Append derivative rules to study guide. Proof from Homework 2, problem 6 Discuss mid-term exam Wed 7 Nov 2012
• Homework 6 DUE Mon 5 Nov 2012: Ch. 2, 1-15, odd numbered problems. Read Ch. 3 pages 36-46. Review study guide.

Lesson 7

Mon 5 Nov 2012

• Begin discussion of Ch. 3: Finding maximum and minimum points. Review for mid-term exam Wed 7 Nov 2012.
• Homework 7 DUE Wed 7 Nov 2012: Study for mid-term covering material through Ch. 2. Worksheet from our text on page 46.

Mid-Term Exam

Wed 7 Nov 2012

• Graphs of functions and transformations, Trigonometric functions, Slope of the tangent line and limits, Calculating simple derivatives, 10 questions, 10 points. Partial credit. Scores rounded up.
• Homework DUE Fri 9 Nov: Read pages 47-58 of our text (the rest of Ch. 3). Worksheet on page 51.

Lesson 8

Fri 9 Nov 2012

• Go over mid-term questions. Discuss Finding maximums and minimums Problems from Worksheets on pages 46 and 51.
• Homework 8 DUE Wed 14 Nov 2012: Corrected mid-term questions on separate sheet of paper. Complete Ch. 1 ODD exercises 1-15 starting on page 32 of our text. (previously assigned). Complete worksheets on pages 46, 51 of our text. (previously assigned). Read Ch. 2 pages 51-58: Rules for Curve Drawing

Lesson 9

Wed 14 Nov 2012

• Discuss Rules for drawing curves. Problems from Worksheet on page 59.
• Homework 9 DUE Fri 17 Nov 2012: Worksheet page 59

Lesson 10

Fri 16 Nov 2012

• Finish Ch. 3 Finding Maximum and Minimum Points Begin exercises on p.63 Time permitting, Math history and culture
• Homework 10 DUE Mon 19 Nov 2012: Exercises on p.63, 1-13 ODD. Read pages 66-79 in our text: Derivatives of Complicated Functions.

Lesson 11

Mon 19 Nov 2012

• Math history and culture. Derivatives of complicated functions. Start Worksheet on page 79.
• Homework 11 DUE Tue 27 Nov 2012: Worksheet on page 79. Read ahead to page 84.
• Happy Thanksgiving!

Lesson 12

Wed 28 Nov 2012

• Math history and culture. Derivatives of complicated functions. Start Worksheet on page 84 (Quotient Rule).
• Homework 12 DUE Fri 30 Nov 2012: Finish worksheet on page 84.

Lesson 13

Fri 30 Nov 2012

• Derivatives of complicated functions review: Product Rule, Chain Rule, Power Rule, Quotient Rule. Start Exercises on page 85
• Homework 13 DUE Mon 3 Dec 2012: Exercises page 85; 1-12, 16-20 Read beginning of Chapter 5.

Lesson 14

Mon 3 Dec 2012

• Answer homework questions. Chapter 5: Derivatives of Trig Functions Start worksheet on page 99.
• Homework 14 DUE Wed 5 Dec 2012: Worksheet on page 99.

Lesson 15

Wed 5 Dec 2012

• Answer homework questions Chapter 5: Derivatives of Trig Functions
• Homework 15 DUE Fri 7 Dec 2012: Finish any homework not turned in for quarter grade.

Lesson 16

Fri 7 Dec 2012

• Answer homework questions. Chapter 5: Derivatives of Trig Functions. Start exercises on page 101.
• Homework 16 DUE Mon 10 Dec 2012: Exercises 1-6 and 8 on page 101. Read ahead into Chapter 6.

Lesson 17

Mon 10 Dec 2012

• Answer homework questions. Chapter 6: Optimum Values and Related Rates. Start exercises on page 115.
• Homework 17 DUE Wed 12 Dec 2012: Exercises 1-5 on page 115.

Final Exam

Tue 18 Dec 2012

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