A one semester introduction to differential and integral calculus designed to convey the significance, use and application of calculus for liberal arts students, particularly those in the behavioral, biological, and social sciences. The schedule below is a record of what we have actually done as well as an approximate projection of what we will do. All course material will be posted here after it is distributed in class.

• Week 1
  • W 8/31: 1.1. Discuss the syllabus and start a worksheet (also in .tex).
  • F 9/2: 1.1,2. Continue the worksheet on limits.
• Week 2
  • W 9/7: 1.2.
  • F 9/9: 1.2,3. WeBWorK HW01 due today.
• Week 3
  • M 9/12: 1.3. A worksheet (also in .tex) introducing difference quotients.
  • W 9/14: 1.3,4. Quiz on limits.
  • F 9/16: 1.4. WeBWorK HW02 due today.
• Week 4
  • M 9/19: 1.5.
  • W 9/21: 1.5,6. Quiz on differentiation using difference quotients (section 1.4).
  • F 9/23: 1.6,7. WeBWorK HW03 due today.
• Week 5
  • M 9/26: 1.7
  • W 9/28: 1.8, worksheet (also in .tex), and review. WeBWorK Review_01 (should have been called HW04) due tomorrow.
  • F 9/30: Exam on chapter 1.
    • A calculator is not necessary (and should not be helpful). You may use a simple calculator, but it must be approved in advance.
    • You may bring one page (one side only) of notes. Turn in your notes with the exam.
• Week 6
  • M 10/3: 2.1,4.
  • W 10/5: 2.1,2,4. Hand out a worksheet. Solve problem 1 at home.
  • F 10/7: 2.1,2,3,4. Continue the worksheet from last class.
• Week 7
  • M 10/10: 2.3,4
  • W 10/12: 2.4,5. WeBWorK HW05 due today.
  • F 10/14: 2.4,5. Quiz on exponential growth.
• Week 8
  • M 10/17: 2.4,5,6.
  • W 10/19: Finish chapter 2. WeBWorK HW06 due today.
  • F 10/21: 3.1. Start a worksheet.
• Week 9
  • M 10/24: Founders' Day NO CLASS
  • W 10/26: 3.1. WeBWorK HW07 due today.
  • F 10/28: 3.2. Quiz.
• Week 10
  • M 10/31: 3.3,4. Start a worksheet.
  • W 11/2: 3.4.
  • F 11/4: 3.5. Yet another worksheet.
• Week 11
  • M 11/7: 3.6,7,8,9.
  • W 11/9: Review. WeBWorK HW08 due today.
  • F 11/11: Exam on chapters 2 (all sections) and 3 (sections 1-5).
• Week 12
  • M 11/14: 4.1.
  • W 11/16: 4.2.
  • F 11/18: 4.3.
• Week 13
  • M 11/21: 4.3 continued on a worksheet. WeBWorK HW09 due today.
  • W 11/23: Thanksgiving NO CLASS
  • F 11/25: Thanksgiving NO CLASS
• Week 14
  • M 11/28: 4.4.
  • W 11/30: 4.5 introduced in a video. Quiz. Other resources for integration by substitution:
    • Paul's notes.
    • Khan Academy.
  • F 12/2: Review. WeBWorK HW10 due today.
• Week 15
  • M 12/5: Exam on Chapter 4
  • W 12/7: Review.
  • F 12/9: Review. Some material from the 2011 edition of the class that might be helpful:
    • Final review problems (and solutions)
    • Differentiation review problems (and solutions)
    • More differentiation review problems (and some solutions)
• Finals week
  • Office hours: Tuesday 2-4 (or by appointment)
  • Final Exam Wednesday, 12/14 8:00-10:00
  • Final exam schedule

Links and class resources

• WeBWorK online homework
• Desmos
• WolframAlpha
• Khan Academy
• Paul's Notes
• Math 148 Fall 2011
• Syllabus
• Final exam schedule
• Academic Calendar

Office hours

• Monday 1-2 in the Math Learning Center (Bollier 218)
• Thursday 11-12 in Herak 227A
• Or by appointment

Suggested exercises

Odd-numbered problems only, unless specified

• Chapter R (as needed):
  • Prerequisite skills diagnostic test, all problems (P. xvii, full solutions in appendix A)
• Chapter 1:
  • 1.1: 7-65, 71, 79, 93, 95.
  • 1.2: 1-63, 85, 87, 89, 95.
  • 1.3: 1-29, 43, 45, 51-61, 65.
  • 1.4: 3, 5, 7, 13, 15, 19, 21, 23-45, 55, 59, 61.
  • 1.5: 7-47 every other odd, 49-71, 79, 85, 87-91, 97, 99, 103, 105.
  • 1.6: 3, 7, 9, 13, 15, 17, 21-51, 59, 61, 63, 65, 73.
  • 1.7: 1-31 every other odd, 33-47, 55, 63, 67, 69, 71, 77.
  • 1.8: 1, 5, 7, 15, 19, 23, 27, 39, 49.
• Chapter 2:
  • 2.1: 1-11, 17-55, 61-85, 95, 96, 97.
  • 2.2: 1-63, 69.
  • 2.3: 1-35, 41.
  • 2.4: 7-35, 37-51.
  • 2.5: 1-75.
  • 2.6: 1-67.
• Chapter 3:
  • 3.1: 1-81, 91, 93.
  • 3.2: 1, 5, 7-47, 51, 53, 55, 61, 71.
  • 3.3: 1-33, 37, 39, 53, 57, 59, 63, 65, 67.
  • 3.4: 3-45, 49-61.
  • 3.5: 1-23, 25-65.
  • 3.6: 1, 5, 9, 13-23, 25, 31, 43, 45, 53.
  • 3.7: 1, 5, 7, 11, 13, 15, 17.
  • 3.9: 1-13, 21-29, 41, 45.
• Chapter 4:
  • 4.1: 1-55, 57, 59, 63, 67, 69, 71, 73, 83.
  • 4.2: 1, 5, 11, 13, 15, 19, 21, 27, 31, 43, 45, 49.
  • 4.3: 1-57, 61-67, 73-85, 89, 99.
  • 4.4: 1-43, 45, 53, 55, 57, 61, 71.
  • 4.5: 1-69.

Worksheets

• ws-01 on graphs and limits (.tex). Solutions.
• ws-02 on average rates of change and difference quotients (.tex). Solutions.
• ws-03 on higher-order derivatives (.tex). Solutions.
• ws-04 on exponential and logarithmic functions (.tex). Solutions.
• ws-05 on first derivatives and optimization (.tex). Solutions.
• ws-06 on the shapes of graphs and absolute extremes (.tex). Solutions.
• ws-07 on absolute maxima/minima (.tex). Solutions.
• ws-08 on applications of integration (.tex). Solutions.

Image source: Wikimedia Commons

Last updated 12/8/2022