Syllabus for Fall Semester

Week 1 September 28

CHAPTER 1 PLEMINARIES

Functions and Their Graphs, Identifying Functions; Mathematical Models, Combining Functions; Shifting and Scaling Graphs, Trigonometric Functions


Week 2 October 5

CHAPTER 7 TRANSCENDENTAL FUNCTIONS

Inverse Functions, Natural Logarithms, The Exponential Function, ax and loga x, Inverse Trigonometric Functions, Hyperbolic Functions, Inverse Hyperbolic Functions


Week 3 October 12

CHAPTER 2 LIMITS AND CONTINUITY

Rates of Change and Limits, Calculating Limits Using the Limit Laws, One-Sided Limits and Limits at Infinity

Infinite Limits and Vertical Asymptotes, Continuity, Rates of Change and Limits, Calculating Limits Using the Limit Laws, Precise Definition of a Limit, Tangents and Derivatives


Week 4 October 19

CHAPTER 3 DIFFERENTIATION

The Derivative as a Function, Differentiation Rules, The Derivative as a Rate of Change, Derivatives of Trigonometric Functions, The Chain Rule and Parametric Equations, Implicit Differentiation, Related Rates


Week 5 October 26

CHAPTER 4 APPLICATION OF DERIVATIVES

Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test,

Concavity and Curve Sketching, Applied Optimization Problems, Indeterminate Forms and L'Hopital's Rule, 0/0, ¥/¥, 0.¥, ¥-¥ and 0^0, 1^¥, ¥^0 indeterminate forms


Week 6 November 2

 MID TERM EXAM 1

Week 7 November 9

CHAPTER 10 CONIC SECTIONS AND POLAR COORDINATES

Conic Sections and Quadratic Equations, Classifying Conic Sections by Eccentricity, Quadratic Equations and Rotations, Conics and Parametric Equations; The Cycloid


Week 8 November 16

CHAPTER 10 CONIC SECTIONS AND POLAR COORDINATES

Polar coordinates, Graphs in polar coordinates,


Week 9 November 23

CHAPTER 5 INTEGRATION

The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and the Substitution Rule


Week 10 November 30

CHAPTER 8 TECHNIQUES OF INTEGRATION

Basic Integration Formulas, Trigonometric Integrals


Week 11 December 7

 MID TERM EXAM 2

Week 12 December 14

CHAPTER 8 TECHNIQUES OF INTEGRATION

Integration of Rational Functions by Partial Fractions, Trigonometric Substitutions


Week 13 December 21

CHAPTER 8 TECHNIQUES OF INTEGRATION

Integration by Parts, Integral Tables and Computer Algebra Systems

CHAPTER 5 INTEGRATION

Definite integrals, improper integrals


Week 14 December 28

LINEAR ALGEBRA (Course Notes will be posted)

Matrices (addition/subtraction, multiplication), inverse of a matrix (Gauss-Jordan and Gauss Elimination methods), solution of system of linear equations (direct solution), tri-diagonal matrix solutions


Week 15 January 4

LINEAR ALGEBRA (Course Notes will be posted)

Determinants, properties of determinants, evaluation methods, system of linear equations (Cramer's method),

inverse matris (method of co-factors)


  January 11-23

 FINAL EXAM

 

 

January 27


Makeup Exams

Son Güncelleştirme: 11.09.2009