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, OneSided 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 (GaussJordan and Gauss Elimination methods), solution of system of linear equations (direct solution), tridiagonal 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 cofactors) 
January 1123 
FINAL EXAM 

January 27 
Makeup Exams 
Son Güncelleştirme: 11.09.2009