# Calculus 1

### Spring 2013

Dmitriy Leykekhman

dmitriy.leykekhman@uconn.edu

Office: MAR 189
Phone
: (860) 405-9294

Office Hours
: MW 10:00 - 11:00 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Monday, Wednesday, and Friday.

General Information:

MATH 1131 covers the rst 5 chapters of the textbook. The main topics are: functions, limits, continuity, derivatives, and integrals.

Class Meeting Times/Place: Monday, Wednesday 11:00a.m. - 12:45 p.m. Classroom  ACD 207.

All classes start in ACD 2117.

Textbooks:                          Required: Calculus: Early Transcendentals, by Briggs and Cochran

Homework Policy:

Homework is assigned every class and collected every Wednesday. They are returned the following Monday with remarks and graded. The total weight of the homework grades is 50 point of the total 600 course points.

Exam Schedule:                    Exam 1:  Wednesday, February 13 ,        11:00a.m. - 12:45p.m.,  Room: ACD 207

Exam 2:  Wednesday, March 13,            11:00a.m. - 12:45p.m.,  Room: ACD 207

Exam 3:  Wednesday, April 17,               11:00a.m. - 12:45p.m.,  Room: ACD 207

Final Exam:   Monday, May 6,               11:00a.m. - 1:00p.m.,   Room: ACD 207

Grading Policy:                        Homework: 50, Quiz: 100, Exam 1: 100, Exam 2: 100, Exam 3: 100, Final Exam: 150.

Approximate schedule is below.

Please note: I am planning to cover most of the Chapters 1-5.
It is assumed that the students are familiar with the material of precalculus.

Weather Cancellation:                           Media sites for Avery Point campus weather cancellation information.

 Date Chapter Topic Homework Week 1 Mon. 1/21 Martin Luther King day. Wed. 1/23 1.1,1.2 Review of Functions.Representing Functions 1.1 Exercises: 4,6,7,19,35,36,64 1.2 Exercises: 7-11,17,18,31,56 Week 2 Mon. 1/28 1.3,1.4 Inverse, Exponential, and Logarithm Functions. Trigonometric Functions and Their Inverses 1.3 Exercises: 8,10,19,20,35,36,38,67 1.4 Exercises: 16,17,22,30,31,35,36,57,83 Wed. 1/30 2.1, 2.2 The Idea of Limits. Definitions of Limits 2.1 Exercises: 7,12,13,17,22 2.2 Exercises: 7,10,11,18,21,30 Week 3 Mon. 2/4 2.3, 2.4 Techniques for Computing Limits. Infinite Limits 2.3 Exercises: 6,12,19,20,23,30,39,40,62,742.4 Exercises: 9,12,16,18,20,23,24,39,44 Wed. 2/6 2.5 Limits at Infinity Practice exam 1     Solutions to Practice exam 1 2.5 Exercises: 11,12,25,26,29,30,31,33,40,41,52,54 Week 4 Mon. 2/11 Class Canceled due to weather Wed. 2/13 Exam 1 Week 5 Mon. 2/18 2.6, 2.7 Continuity. Precise Definitions of Limits 2.6 Exercises 9,10,15,16,25,26,35,36,45,46,55 2.7: Exercises 9,12 Wed. 2/20 3.1, 3.2 Introducing the Derivative. Rules of Differentiation. 3.1 Exercises: 11,12,23,24,29,33,41,47,65,66 3.2 Exercises 10,12,17,18,21,22,37,38 Week 6 Mon. 2/25 3.3, 3.4 The Product and Quotient Rules. Derivatives of Trigonometric Functions. 3.3: Exercises 7,8,17,18,19,20,31,32,49,50 3.4 Exercises 8,9,10,11,16,17,18,19,44,45 Wed. 2/27 3.5, 3.6 Derivatives as Rates of Change. The Chain Rule 3.5: Exercises 12,17,18,24,32,35 3.6 Exercises: 8,9,10,11,17,18,19,20,21,22,37,38 Week 7 Mon. 3/4 3.7, 3.8 Implicit Differentiation. Derivatives of Logarithmic and Exponential Functions 3.7 Exercises 12,13,14,15,28,29,35,363.8: Exercises 10,11,39,40,47,48 Wed. 3/6 3.9, 3.10 Derivatives of Inverse Trigonometric Functions. Related Rates 3.9 Exercises 9,10,11,12,13,14,15,163.10: Exercises 13,17,23,40 Week 8 Mon. 3/11 Review for Exam 2.     Practice exam 2     Solutions to Practice exam 2 Wed. 3/13 Exam 2 Week 9 Mon. 3/18 Spring recess. Wed. 3/20 Spring recess. Week 10 Mon. 3/25 4.1 Maxima and Minima 4.1 Exercises: 15,16,31,32,33,34,37,38,68 Wed. 3/27 4.2 What Derivatives Tell Us 4.2 Exercises: 11,12,29,30,33,34,57,58 Week 11 Mon. 4/1 4.3, 4.4 Graphing Functions. Optimization Problems 4.3 Exercises: 10,11,16,20,28,29 4.4 Exercises: 7,8,11,15 Wed. 4/3 4.5 Linear Approximation and Differentials. 4.5 Exercises: 9,10,11,12,19,20,21,22,26 Week 12 Mon. 4/8 4.5,4.6 Mean Value Theorem 4.6 Exercises: 7,8,17,18,23 Wed. 4/10 4.7, 4.8 L'Hopital's Rule. Antiderivatives 4.7 Exercises: 15,16,19,20,27,28,31,32,42,44 4.8 Exercises: 11,12,13,16,19,20,33,34,35,36 Week 13 Mon. 4/15 Review for Exam 3.      Practice exam 3     Solutions to Practice exam 3 Wed. 4/17 Exam 3 Week 14 Mon. 4/22 5.1 Definite IntegralsApproximating Areas under Curves 5.1 Exercises: 15,16,17,18,27,28,32(a,d) Wed. 4/24 5.2, 5.3 Definite Integrals 5.2 Exercises: 19,20,25,26,27,28,40 Week 15 Mon. 4/29 5.3 Fundamental Theorem of Calculus 5.3 Exercises:25,26,27,28,31,32,33,34,51,53 Wed. 5/1 Review.      Practice Final Exam     Solutions to Practice Final Exam Week 16 Mon. 5/6 Final Exam