Calculus for Mathematics Students I
Math 153 - Spring 2020
Announcements
For the rest of the semester we will be using odtuclass and gradescope. You should check your emails regularly for important announcements.
The information below may not be accurate since it wasn't updated after the Coronavirus break.
Course Objectives
At the end of this course, the student will learn the concepts limit, continuity, derivative of a function of one variable and some of their applications to real life problems.
Tentative Course Outline
Precalculus: (2.5 weeks) Domain, range and various representations of functions. The Function Concept: Interpolation, monotonicty, extreme values, compositions of functions, implicitly defined functions.
Limits and Continuity: (3 weeks) 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: (3 weeks) 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: (2 weeks) Construction of the exponential and the logarithmic functions. Hyperbolic functions. Inverse trigonometric functions.
Applications of Derivatives: (3 weeks) 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.
Grading
Your final letter grade will be determined by three exams, several quizes and homeworks.
Midterm 1, 30 points, March 20.
Midterm 2, 30 points, April 17.
Final, 40 points, To be announced.
Quizes and Homeworks, 10 points.
Attendance, 5 points.
Course Policy
Attendance will be taken. If your attendance is less than %35, you will not be able to take the final exam and you will get the NA grade. Students whose attendance is at least %70 will get extra 5 points. Medical reports less than five days will not be accepted.
Only one make-up examination will be offered for each student. The excuse for not attending an examination must be proved with documents. A make-up examination will take place a few days after the missed exam.
The quizes will be given in recitations and may not be announced in advance. A portion of quiz scores will be dropped and there will be no make-up for quizes.
Office Hours
Lecturer, Ömer Küçüksakallı: Monday 13:40-15:30 (Office M141)
Teaching Assistant, Muhammed Aydoğdu: Wednesday 8:40-10:30 (Office: Z-48)