Calculus for Mathematics Students I
Math 153 - Spring 2016
Announcements
Midterm 1 scores are now available at odtuclass. You can see your exam papers on April 8, Friday between 14:00-16:00 in Pelin Senel's office.
Grading
Your final letter grade will be determined by three exams, several quizzes and homeworks. The quizzes will be given in lectures or recitations and may not be announced in advance. The worst quiz score will be dropped and there will be no make-up for quizzes.
Midterm 1, % 30, March 30
Midterm 2, % 30, April 27
Final, % 40, June 4
Quizzes, Homeworks and Attendance % 10
Course Policy
Only one make-up examination will be offered. The excuse for not attending an examination must be proved with documents. The make-up examination will take place shortly after the final exam.
Course Outline (Tentative)
Precalculus: Domain, range and various representations of functions. The Function Concept: Interpolation, monotonicty, extreme values, compositions of functions, implicitly defined functions.
Limits and Continuity: The Limit Concept: ε–δ definition, properties, one-sided limits, limits at infinity, the substitution and Squeeze Theorems, Continuity, Properties of continuous functions, Intermediate-Value and Extreme-Value Theorems.
Differentiation: The Derivative Concept: Definition of the Derivative. Properties of the Derivative, Implicit Differentiation. Rolle's and the Mean Value Theorems. Monotonicity Theorem. The First and Second Derivative Tests.
Transcendental Functions: Construction of the exponential and the logarithmic functions. Hyperbolic functions. Inverse trigonometric functions.
Applications of Derivatives: L'Hospital's Theorem. Asymptotes and Graph Sketching. Problems of Maxima and Minima. Related Rates.
Textbook
The suggested textbook is the following:
Robert A. Adams, Christopher Essex - CALCULUS, A Complete Course Calculus. Eight Edition.
Offices
Ömer Küçüksakallı (Office 141)
Pelin Şenel (Office: Z31)
Pınar Çomak (Office: Z43)