DOĞUŞ UNIVERSITY
MATH 111 COURSE OUTLINE
FACULTY
: Engineering
DEPARTMENT
: Comp E, Cont. E., EE, IE, ISE
CODE
: MATH 111
TITLE
: Calculus I
CREDIT
: 4 (3-0-2)
PREREQUISITE : ---WEB PAGE
:
http://dushare.dogus.edu.tr/Ders%20Klavuzlar/Forms/AllItems.aspx
INSTRUCTORS : Yrd.Doç.Dr. Songül Esin
Doç.Dr. Gülçin Çivi
Prof.Dr. Alikram Aliev
Öğr.Gör.Dr. Nurhan Çolakoğlu
Yrd.Doç.Dr. Kürşat Aker
(1)
(2)
(3)
(4)
(5)
PURPOSE
: To introduce basic concepts and techniques of one-variable Calculus
METHOD
: Lecture, discussion, problem session
MAIN TEXT
: Thomas-Hass-Weir; Thomas’ Calculus, 12th Edition, Global Edition
ADDITIONAL READINGS
1. Thomas’ Calculus, International edition
2. Silverman; Calculus with Analytical Geometry
3. Edwards and Penney; Calculus and Analytical Geometry
EVALUATION
First midterm exam:
Second midterm exam:
Final Exam:
Homework, quizzes( extra bonus):
% 25
% 25
% 50
%5
TEACHING PLAN
WEEK 1: Functions and their graphs, Combining functions, shifting, rates of change.
WEEK 2: Limit of a function and Limit Laws, One sided limits, Continuity,
Limits involving Infinity.
WEEK 3: Tangents and Derivatives at a Point, The Derivative as a function, Differentiation
rules, The derivative as a rate of change, The derivatives of Trigonometric
functions.
WEEK 4: The chain rule, Implicit differentiation, Related rates, Linearization and
differentials.
WEEK 5: Extreme values of functions, The Mean value theorem, First derivative test,
Concavity and curve sketching
WEEK 6: Applied optimization, Antiderivatives
WEEK 7: Riemann Sums, The definite integral, The fundamental theorem of Calculus.
FIRST MIDTERM #1, Nov, 19 Saturday at:13:00
WEEK 8: Indefinite integrals and the substitution rule, Substitution and area between
curves.
WEEK 9: Volumes by slicing and rotation about an axis.
WEEK 10: Volumes by cylindrical shells, Arc Length, Lengths of plane curves.
WEEK 11: Inverse functions and their derivatives, Logarithmic functions, Exponential
functions.
WEEK 12: Indeterminate forms and L’Hopital’s rule, Inverse trigonometric functions,
Hiperbolic functions.
SECOND MIDTERM #2, Dec, 24 Saturday at:13:00
WEEK 13: Integration by parts, Trigonometric integrals, Trigonometric substitutions.
WEEK 14: Integration of rational functions by partial fractions, Improper integrals.