## Math 140B, Section 005: Calculus and Biology I (Fall 2014)

Instructor: Dr. Jessica M. Conway.
Lectures: MTWF 11:15am-12:05pm, Osmond 110.
Office hours: McAllister 332, Mondays 4-6pm + by appointment.
Email: jmconway (at) psu (dot) edu
Phone: (814)865-7527

PSU offers Mathematics drop-in and online tutoring, Calculus included!
Details available at https://pennstatelearning.psu.edu/tutoring/mathematics.
Course-wide syllabus available HERE.

Section 005 syllabus available HERE.

Text: Calculus for the Life Sciences by Bittinger, Brand and Quintanilla. 1st edition (2006).
We will cover chapters 1-5, up to section 5.4.

Homework and quiz solutions will be posted on ANGEL.

### ANNOUNCEMENTS:

• (25/08/2014) Welcome to Math 140B!
• (7/10/2014) MIDTERM 1 CHANGE OF ADDRESS: Midterm 1 will be in 100 Thomas

• ### Exam Dates:

• Midterm test 1: Wednesday, October 8th, 6:30pm-7:45pm, 100 Thomas

• Midterm test 2: Wednesday, November 5th, 6:30pm-7:45pm, 101 Chambers

• Final exam: Tuesday, December 16th, 2:30-4:20pm, 100/101 Thomas

75 points (15%) from homework assignment + 75 points (15%) from quizzes + 100 points (20%) for Midterm 1 + 100 points (20%) for Midterm 2 + 150 points (30%) from the Final Exam = 500 points (100%).

### Quizzes

• 15 minutes, every Tuesday that homework is due, based on the homework.
• 12 total quizzes. We'll use the 10 best to calculate final quiz grade.
• Solutions will be posted on ANGEL.

### Homework

• due each week at the beginning of the Tuesday class.
• Each week's homework listed in the lecture outline table below.
• 12 total homework assignments. We'll use the 10 best to calculate final quiz grade.
• Solutions will be posted on ANGEL. Homework problems are listed here and also on ANGEL.

• ### Documents

(1) (25/08/2014) HIV modeling from first lecture
(2) (26/08/2014) Algebra and Trigonometry review problems
(3) (26/08/2014) Traffic flow problem here, or with solutions here
(4) (08/09/2014) Periodicity extra materials. Temperature data , flu data, slides.
(5) (16/09/2014) Rates of change: making yoghurt handout .
(6) (19/09/2014) Displacement, velocity, and acceleration handout .
(7) (19/09/2014) Prof. Lorenzo Sadun's blurb on L'Hospital's rule link . Note: this is for enrichment only and not required course material. Please feel free to ask about it though, any time!
(8) (26/09/2014) Worksheet on differentiation handout . Note: The answer to #1 is correct in this version.
(9) (3/10/2014) Chapter on sketching! link (from Leah Keshet's Differential Calculus, posted with permission).
(10) (6/10/2014) Midterm review sheet link .
(11) (6/10/2014) Midterm review sheets from other sections: link (includes a very nice topics overview) and link .
(13) (7/10/2014) Solution to Midterm 1 Review Problem #12 link
(14) (17/10/2014) Maximum-minimum example involving end points: example 7.5, at the bottom of the page, link (from Leah Keshet's Differential Calculus, posted with permission).
(15) (18/10/2014) Maximum-minimum extra examples from Friday Oct 17th lecture: solutions.
(16) (26/10/2014) Tables of area, volume, etc. formulae: link. Helpful for max/min and related rates problems!
(17) (31/10/2014) RR and Max-min problems from the week of October 27th: Tables of area, volume, etc. formulae: link. Answers on the 3rd page.
(18) (31/10/2014) Practice Midterm 2 : link.
(19) (3/11/2014) Practice Midterm 2 Solutions: link.
(20) (3/11/2014) Midterm review sheets from other sections, shared with D. Zach's permission: link. Includes a very nice topics overview.
(21) (3/11/2014) Midterm 2 review problems for the week of November 3rd, with answers: link.
(22) (12/11/2014): Algebra with exponentials practice problems, and answers.
(23) (12/11/2014): Algebra with logarithms practice problems, and answers.
(25) (9/12/2014): Practice final exam, and solutions.

### Lecture Schedule

Note: this schedule is tentative. I will adjust as the semester proceeds so that it reflects our actual progress.

August 25 Introduction
I. Functions and graphs: slope and linear functions, polynomial functions, and applications

1.1 - 1.2 Homework #1: due Tuesday, September 2nd
1.1: 2, 4, 10, 12, 14, 16, 26, 28, 34, 38, 46, 50, 58, 60, 64ab, 66
1.2: 2, 4, 8, 10, 12, 16, 18, 20, 22, 24, 28, 30, 32, 34, 36
Appendix A: 80, 82, 86, 94, 98, 102, 144, 150, 152

Suggested problems:
1.1: 7, 9, 17, 25, 27, 35, 37, 53, 59, 61
1.2: 5, 7, 17, 19, 27, 29, 31, 35
September 2
I. Functions and graphs: rational and radical functions, trigonometric functions, and applications

1.3 - 1.5 Homework #2: due Tuesday, September 9th
1.3: 2, 4, 6, 8, 11, 12, 14, 24, 28, 40, 42, 52, 54, 56, 58
1.4: 8, 10, 14, 18, 20, 52, 54, (52, 54: express answer as A*trig function(angle in radians) ), 64, 65
1.5: 8, 10, 14 (8-14 also use "special angles"), 26, 28, 34 (26-34 do not use a calculator), 42, 44, 46, 54, 60
September 8
II. Differentiation: limits and continuity, geometrical interpretation; limits and continuity, algebraic interpretation

2.1 - 2.2 Homework #3: due Tuesday, September 16th
2.1: 2, 4, 6, 8, 10, 12, 14, 16, 17-23, 31-34
2.2: 1, 2, 3, 4-28 (even numbered problems only), 34, 35, 36, 38, 40
Suggested problems:
2.1: 9, 11, 13, 15
2.2: 9, 11, 17, 21, 23, 25, 27, 37, 39
September 15
II. Differentiation: average rates of change, derivatives from limits, instant rates of change, introduction to differentiation techniques
2.3 - 2.5 Homework #4: due Tuesday, September 23rd
2.3: 10, 12, 14, 16, 18, 21, 30
2.4: 2, 4, 10, 12, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
2.5: 10, 11, 12, 14, 16, 28, 30, 40
2.6: 4, 10, 14, 18, 20
September 22
II. Differentiation: product rule, quotient rule, chain rule

2.7-2.8 Homework #5: due Tuesday, September 30th
2.7: 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 90, 94, 96, 97, 98, 100, 102, 104
2.8: 2, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 70, 72, 74, 76, 78, 80, 82, 84
September 29
II. Differentiation: higher order derivatives
III. Applications of Differentiation: First derivatives, local extrema; second derivatives, concavity; curve sketching.

2.9, 3.1-3.2 Homework #6: due Tuesday, October 7th
2.9: 2, 6, 16, 28, 38, 44, 48
3.1: 10, 22, 26, 38, 42, 96, 98
3.2: 10, 14, 26, 30, 46, 106, 108, 110, 112
October 6
III. Applications of Differentiation: Second derivatives, concavity, and curve sketching; rational functions and asymptotes.
Midterm 1 review, 1.1-3.2.

MIDTERM I on Wednesday

3.1-3.2 NO HOMEWORK

October 13
III. Applications of Differentiation: rational functions, asymptotes, curve sketching; absolute extrema, max & min; optimization, max & min

3.3-3.5 Homework #7: due Tuesday, October 21st
3.3: 2, 6, 10, 14, 16, 26, 32, 42, 46, 48, 56, 60, 82
3.4: 2, 16, 28, 46, 56, 73
3.5: 2, 12, 24, 38, 39, 40
October 20
III. Applications of Differentiation: approximation techniques, implicit differentiation, related rates, applications

3.6-3.7 Homework #8: due Tuesday, October 28th
3.6: 2, 4, 6, 9, 12, 14, 16, 18, 20, 48, 49 (for 48 and 49, d(sec(x))/dx=sec(x)tan(x))
3.7: 2, 4, 6, 10, 12, 20, 22, 24, 26, 30, 32, 34, 36, 40, 42, 44, 46, 48
October 27
III. Applications of Differentiation: Applications: optimization (maximum-minimum problems), related rates

3.5, 3.7 Homework #9: Midterm 2 review!
due Tuesday, November 4th
3.3 3, 7, 9, 15, 39, 40, 41 (see .pdf for additional instructions on #39-41)
3.4 15, 31, 32, 41, 49
3.5 13, 17, 18, 21, 23, 27, 29
3.6 15, 17, 19
3.7 5, 7, 9, 17, 29, 30, 33, 37, 38, 39, 41, 43
November 3
Midterm 2 review, 3.1-3.7
IV. Exponential and Logarithmic Functions: introduction

MIDTERM 2 on Wednesday

4.1 NO HOMEWORK
November 10
IV. Exponential and Logarithmic Functions: exponential functions, logarithmic functions, and their derivatives

4.1-4.2, 4.5 Homework #10: due Tuesday, November 18th
4.1 1, 5, 9, 11, 15, 19, 23, 27, 31, 35, 41, 45, 49, 53, 57, 59, 65, 77, 79
4.2 1, 3, 5, 7, 13, 15, 17, 19, 21, 23, 25, 27, 39, 41, 43, 47, 51, 55, 57, 61, 65, 67, 73, 91, 95, 97
4.5 3, 7, 9, 13, 15, 17, 19, 21, 27, 31, 32, 33, 37
Don't forget to make your own copy (File --> Make a copy) and only make changes IN THE COPY.
November 17
IV. Exponential and Logarithmic Functions: applications: uninhibited growth and decay

4.3-4.4 Homework #11: due Tuesday, December 2nd
4.3 2, 4, 6, 8, 10, 12, 14, 17-22, 32, 33, 36, 37
4.4 1-11, 13, 17, 18, 22, 24, 32, 37, 38
November 24
THANKSGIVING BREAK

December 1
V. Integration: antiderivatives and integrals, areas and accumulation, the Fundamental Theorem of Calculus

5.1-5.3 Homework #12: due Tuesday, December 9th
5.1 2, 6, 10, 14, 18, 22, 26, 30, 37, 40, 44, 46, 50, 54, 58, 62, 66, 73, 76, 77, 79
5.2 2, 4, 6, 12, 14, 17, 18, 24, 26
5.3 4, 8, 12, 14, 18, 40, 44, 48, 52, 54, 58, 60, 64, 74, 78, 79, 80, 86, 89, 90, 91, 92
For 5.3.79, also answer: What is the particle's initial velocity? What is its acceleration?
5.4 4, 6, 8, 13, 14, 16, 22, 23, 25, 26