Math 131 -- Spring 2010

Time and Place : TueTh 5:20-6:40 pm; Earth&Space 1

Instructor : Radu Laza

Office : Math Tower 4-121
Email : rlaza@math.sunysb.edu

Office Hours: Tue 3-5; by appointment

TAs: S.Ali Aleyasin (R01, R03) and Ye Sle Cha (R02)

Prerequisites

In order to take MAT 131, you must have either

passed MAT 123 with a B or better; or,
passed MAT 122 with a B or higher, and be now taking MAT 130; or,
received a score of 5 or better on the mathematics assessment.

The course goes very quickly. Students who would like to learn the same material at a more leisurely pace should take MAT 125. The three-semester sequence MAT 125-126-127 covers the same material as the two-semester sequence MAT 131-132.

See the document first year mathematics at Stony Brook for more information about the math assessment and other calculus courses.

Here is a list of the math department's course offerings this semester.

The textbook

The textbook for the course is Single Variable Calculus: Concepts and Contexts (Stony Brook Edition), 4th Edition by James Stewart

Homework assignments

We will use webassign for the HW assignments. Please go to webassign and register. The first HW will be available by Feb 4th and due Feb 11.

Grading

There will be 2 midterms and a final. We will have approximately 10 homework assignments and 5 quizzes.
The exams count for 75% of the final grade. The division is roughly: 35% for the final and 20% for each midterm. The remaining 25% will be for the homework assignments and quizzes.

Announcements

The second midterm will take place in class on March 25th (5:20-6:40). It will cover up to 4.2. A sample midterm is available here

Schedule

Week of	Sections Covered	Recommended exercises
Jan 26, 28	Sec 1.1: Four ways to represent a function Sec 1.2: Mathematical Models and a Catalog of Essential Functions ------------------------------------------ Sec 1.3:New Functions from Old Functions Appendix C: Trigonometric Functions	Sec 1.1: 12, 20, 22, 32, 46, 58, 66, 68, 70, 72 Sec 1.2: 4, 12, 16 Sec 1.3: 2, 6, 16, 22, 34, 42, 50, 60 Appendix C: 28, 30
Feb 2, 4	Sec 1.5 Exponential Functions Sec 1.6 Inverse Functions and Logarithms Pages 216-217 Inverse sine function ------------------------------------------ Sec 2.1 The tangent and velocity problems	Sec 1.5: 14, 16, 30(a)(b)(c), 32(a)(b)(c) Sec 1.6: 12, 15, 22, 26, 30, 36, 38, 40, 50, 59, 62 Page 220: 1(a), 3(b), 4(b), 5, 7, 9 Sec 2.1: 4, 6	HW 1 (webassign) -- due Feb 11
Feb 9, 11	Sec 2.2 The limit of a function ------------------------------------------ Sec 2.3 Calculating limits using the limit laws	Sec 2.2 6, 12, 16 Sec 2.3 10, 14, 18, 22, 24, 28, 46	HW 2 (webassign) -- due Feb 18
Feb 16, 18	Sec 2.4 Continuity ------------------------------------------ Sec 2.5 Limits involving infinity	Sec 2.4 4, 6, 8, 12, 16, 40, 42, 53, 54, 55 Sec 2.5: 2, 4, 6, 16, 18, 20, 26, 28, 53 (explain why the limit is 5)	HW 3 (webassign) -- due Feb 23 Quiz 1 (recitation)
Feb 23	Review
Feb 24	Midterm 1 (8:30-10pm)	covers up to section 2.5
Feb 25	Sec 2.6 Derivatives and rates of change Sec 2.7 The derivative as a function	Sec 2.6: 6, 8, 12, 14, 16, 24, 36, 42, 44, 48 Sec 2.7: 4, 6, 8, 14, 22, 24, 28, 44, 54 Sec 2.8: 2, 4, 10, 12, 14, 22, 26
Mar 2, 4	Introduction to derivatives ------------------------------------------ Sec 3.1 Derivatives of polynomials and exponential functions Sec 3.3 Derivatives of trigonometric functions	Sec 3.1: 8, 10, 16, 28, 46(a)(b), 48, 58 Sec 3.3: 2, 4, 6, 12, 16, 42, 48	HW 4 (webassign) -- due Mar 11
Mar 9, 11	Sec 3.2 The product and quotient rules Sec 3.4 The chain rule ------------------------------------------ Sec 3.5 Implicit differentiation Sec 3.6 Inverse trigonometric functions and their derivatives Sec 3.7 Derivatives of logarithmic functions	Sec 3.2: 4, 6, 24, 30, 40 (for all n), 48(a)(b), 60 Sec 3.4: 2, 8, 12, 18, 20, 24, 28, 58, 68, 76 Sec 3.5: 2, 6, 8, 12, 22, 36, 50 Sec 3.6: 2, 4, 10, 16, 18, 22, 40 Sec 3.7 2, 4, 8, 34, 38, 48	HW 5 (webassign) -- due Mar 18
Mar 16, 18	Further Topics Derivatives ------------------------------------------ Sec 4,1 Related rates Sec 4.2 Maximum and minumum values	Sec 3.8 2, 6, 10, 16, 24, 30 Sec 3.9 2, 4, 6, 16, 20, 24(a), 26 Sec 4.1 2, 6, 10, 12, 14, 18, 24, 29, 40 Sec 4.2 4, 8, 20, 42, 44, 50, 54	HW 6 (webassign) -- due Mar 25 Quiz 2 (recitation)
Mar 23	Review
Mar 25	Midterm 2 (in class)	covers up to section 4.2
Apr 6, 8	Sec 4.3 Derivatives and the shapes of curves Sec 4.5 Indeterminate forms and L'Hospital's rule	Sec 4.3 22, 26, 30, 32, 34, 36, 50, 58 Sec 4.5 6, 8, 10, 12, 14, 20, 22	HW 7 (webassign) -- due Apr 15
Apr 13, 15	Sec 4.5 Indeterminate forms and L'Hospital's rule (continued) Sec 4.6 Optimization problems	Sec 4.5 28, 30, 34, 36, 40, 46 Sec 4.6 2, 6, 10, 18, 22, 26, 28, 38, 56	HW 8 (webassign) -- due Apr 22
Apr 20, 22	Sec 4.7 Newton's method Sec 4.8 Antiderivatives	Sec 4.7 2, 4, 10, 12, 14, 16, 25 Sec 4.8 2, 4, 8, 10, 18, 30, 34, 42, 44, 48, 50, 52	HW 9 (webassign) -- due Apr 29 Quiz 3 (recitation)
Apr 27, 29	Sec 5.1 Areas and distances Sec 5.2 The definite integral	Sec 5.1 2, 4, 6, 12 Sec 5.2 18, 28, 32, 34, 38, 42, 48, 54	HW 10/HW 11 (webassign) -- due May 6
May 4, 6	Sec 5.3 Evaluating definite integrals Sec 5.4 The fundamental theorem of calculus Sec 5.5 The substitution rule	Sec 5.3 10, 16, 20, 22, 26, 28, 38, 54, 56, 60 Sec 5.4 2, 6, 10, 12, 14, 16, 18, 20 Sec 5.5 8, 10, 12, 14, 46, 48, 50, 54	Quiz 4 (recitation)
Final Exam: Monday, May 17, 8:15-11p.m. Covers the entire semester's material, emphasizing the material after section 4.2.