Math 3A: Calculus for Life Sciences

General Information

Time and Place: MWF 2-2:50pm BUNCHE 1209B

Instructor: Henry Towsner

E-mail address: hpt at math.ucla.edu

Office: Mathematical Sciences Building 5634
Office Phone: (310) 825-2697
Office Hours: W 10:30-11:30 R 10:30-11:30, 1:00-2:00

Syllabus

Course Outline

Solutions to Midterm 1

Solutions to Midterm 2

Description

This is the first class in the calculus sequence for life science students. We will introduce the central concept of calculus, the derivative. We will study the properties of derivatives, and how to compute them, and then turn to an examination of how we can use the derivative to investigate the behavior of mathematical functions.

Course Text

Neuhauser, Calculus for Biology and Medicine, 2nd Ed, Prentice Hall

Homework

Homework 1, due Fri, Oct. 2nd: (Material from sections 2.2.1-2.2.2) From section 2.2.4 do problems 2, 4, 34, 36, 40, 42, 44, 46, 72, 76, 80
Homework 2, due Fri, Oct. 9th: (Material from sections 3.1-3.3) Give an example of two sequences (an), (bn) such that limn→∞(an+bn)=0 but neither limn→∞an nor limn→∞bn exist. From section 3.1.3, do problems 12, 30, 40, 46, 54. From section 3.2.3, do problems 6, 8, 18, 22, 24, 38, 44.
Homework 3, due Fri, Oct. 16th: (Material from sections 3.3-3.5, 4.1) Section 3.3.1, Problems 9, 16; Section 3.4.1, Problems 4c, 12; Section 3.5.3, Problems 3b, 5, 6, 14; Section 4.1, Problems 5, 18, 30
Homework 4, due Fri, Oct. 23rd: (Material from sections 4.2-4.4) Section 4.2, Problems 2, 8, 26; Section 4.3, Problems 4, 12, 30, 56; Section 4.4, Problems 6, 12, 28
Homework 5, due Fri, Oct. 30th: (Material from sections 4.4-4.5) Section 4.4, Problems 42, 44, 50, 54, 68, 70, 76, 78; Section 4.5, Problems 12, 24, 38, 61, 70
Homework 6, due Fri, Nov. 6th: (Material from sections 4.6-4.8, 5.1) Section 4.6, Problems 30, 50; Section 4.7, Problems 4, 10, 52; Section 4.8, Problems 4, 18, 47; Section 5.1, Problems 28, 40
Homework 7, due Fri, Nov. 13th: (Material from sections 5.1-5.3) Section 5.1, Problems 36, 46, 52; Section 5.2, Problems 4, 10, 18, 32, 41; Section 5.3, Problems 8, 12, 22, 30, 34
Homework 8, due Fri, Nov. 20th: Section 5.3, Problems 36, 38, 42
Homework 9, due Fri, Dec. 4th: Section 5.4, Problems 4, 12, 14, 18; Section 5.5, Problems 2, 12, 14, 22, 28, 34, 36, 48, 52