MATH 119
Calculus with Analytic
Geometry
Frequency: Fall/Spring Terms
Credit: (4-2)5
Catalog description: Functions, Limits, continuity and derivatives.
Applications. Extreme values, the Mean Value Theorem and its applications.
Graphing. The definite integral. Area and volume as integrals. The
indefinite integral. Transcendental functions and their derivatives.
L'Hospital's Rule. Techniques of integration. Improper integrals.
Applications.
Justification for the Course Proposal: This is a fundamental course
designed for all science – Engineering Students.
Course Objectives: Standard complete introduction to the concepts and methods of calculus.
MidTerm1: 20 Points
MidTerm2: 20 Points
MidTerm2: 20 Points
Final Exam: 25 Points
Quiz/Homework/Attendance: 15 Points
Suggested textbook:
Robert A. Adams, Christopher Essex
CALCULUS
A Complete Course Calculus. Seventh Edition.
ISBN 978 0-321-54928-0
QA303.2.A33 2010
Reference Books: Calculus
James Stewart, Fifth Edition
|
Week |
Dates |
Syllabus(Math 119) |
|
1 |
Sep 27-Oct 01 |
Ch 0:
Preliminaries 0.1 Real Numbers and the Real Line 0.2 Cartesian Coordinates in the Plane 0.3 Graphs of Quadratic Equations 0.4 Functions and Their Graphs 0.5 Combining Functions to Make New Functions 0.6 Polynomials and Rational Functions |
|
2 |
Oct 04-08 |
Ch 3: Transcendental
Functions 3.1 Inverse Functions 3.2 Exponential and Logarithmic Functions 3.3 The Natural Logarithm and Exponential |
|
3 |
Oct 11-15 |
Ch 1: Limits and
Continuity 1.2 Limits of Functions 1.3 Limits at Infinity and Infinite Limits 1.4 Continuity 1.5 The Formal Definition of Limit |
|
4 |
Oct 18-22 |
Ch 2: Differentiation 2.1 Tangent Lines and Their Slope 2.2 The Derivative MIDTERM 1 October 20 |
|
5 |
Oct 25-29 National Holiday (National Day / Cumhuriyet
Bayramı) (October 28, Thursday afternoon: |
2.3 Differentiation Rules 2.4 The Chain Rule |
|
6 |
Nov 01-05 |
2.6 Higher-Order Derivatives 2.8 The Mean-Value Theorem |
|
7 |
Nov 08-12 November 10, 2010Anniversary of Atatürk's Death (Wednesday: No classes between 8:40 - 10:30) |
2.9 Implicit Differentiation Ch 4: More Applications
of Differentiation 4.1 Related Rates MIDTERM 2 November 10 |
|
8 |
Nov 15-19 November 16 -19, 2010 Religious Holiday-Kurban Bayramı (Arife: November 15, Monday afternoon; Bayram: 4 days) |
|
|
9 |
Nov 22-26 |
4.3 Indeterminate Forms 4.4 Extreme Values 4.5 Concavity and Inflections |
|
10 |
Nov 29-Dec 03 |
4.6 Sketching the Graph of a Function 4.8 Extreme-Value Problems 4.9 Linear Approximations |
|
11 |
Dec 06-10 |
Ch 5: Integration 5.1 Sums and Sigma Notation 5.2 Areas as Limits of Sums 5.3 The Definite Integral 5.4 Properties of the Definite Integral 5.5 The Fundamental Theorem of Calculus |
|
12 |
Dec 13-17 |
5.6 The Method of Substitution 5.7 Areas of Plane Regions |
|
13 |
Dec 20-24 |
Ch 6: Techniques of
Integration 6.1 Integration by Parts 6.2 Integrals of Rational Functions 6.3 Inverse Substitutions |
|
14 |
Dec 27-31 |
6.5 Improper Integrals Ch 7: Applications of
Integration 7.1 Volumes by Slicing—Solids of Revolution |
|
15 |
Jan 03-07 |
7.2 More Volumes by Slicing 7.3 Arc Length and
Surface Area |
|
|
|
FINAL |
Suggested Problems
P1. 24,25,30,40,42
P2. 20,26,32,34
P3. 12,18,36,42,45
P4. 4,16,20,34,38
P5. 4,5,8,16
3.1 6,10,12,19,20,21,23,25
3.2 6,10,17,18
3.3 6,8,10,14,18,30,34,40
1.2 2,10,14,18,20,22,26,30,32,40,50,58,65,67,74
1.3 2,6,8,12,14,22,26,28,32,35-45.
1.4 1,3,8,10,18
2.1 2,10,12,16,19,21,22
2.2 1.3,11, 17,23,25,31,32,40,42,45,49
2.3 7,9,11,15,17,23,25,29,33,37,39,43,49,51,53
2.4 3,5,11,13,15,23,25,31,45
2.5 3,5,11,17,21,27,29,35,37,41,43,45,49,53,57,62
2.6 1,7,11,13,21,25,26
2.8 1,3,5,7,9,11,15
2.9 3,7,9,11,13,17,21,27
3.1 28,29,30
3.2 31,32,33
3.3 10,22,25,27,28,33,38,52,53,56,59,60,66