Spring 2024-2025 - Syllabus for MAT 102 - Calculus II
Instructor: Dr. Nezihe Turhan Turan
O¢ ce: Science and Engineering Building, H1-12
E-mail: [email protected]
Time: The lectures will be held in the appointed classrooms at the announced time slots posted on the school website.
Announcements: The student’s responsibility is to REGULARLY check his/her school E-mail and follow ÜBYS for any
announcements and shared documents.
O¢ ce Hours: All students are free to stop by my o¢ ce during the o¢ ce hours to ask questions regarding the class. My
o¢ ce hours are on Tuesdays from 1:30 to 3:00 pm.
Textbook: The below textbooks are used to prepare the lecture notes. However, the students can use any source to study
for the class.
"Calculus, A complete course," R. A. Adams and C. Essex, 7th Edition, Pearson
"Thomas’Calculus," G.B. Thomas, Jr., M.D. Weir, J. Hass, 12th Edition, Pearson
"Steward’s Calculus," James Steward, Brooks/Cole.
Exams and the Grading Policy: There will be a midterm exam, a …nal exam, and a resit exam. The resit exam is a
substitute for the …nal exam; if you take it, your …nal exam grade will be nulli…ed. The dates and times for all exams will be
announced later as the semester progresses. According to school policy, the exams will count toward your grade as follows:
Midterm 50%
Final - Resit 50%
Academic Honesty: When academic dishonesty or cheating during exams is suspected, the case will be reported to the
University Disciplinary Committee (There is no tolerance on this rule)
Topics included in the lectures
Week Topics covered
1 Review of integral techniques (Method of Substitution, Integration by Parts)
2 Review of integral techniques (Partial Frantions Method, Trigonometric Substitutions)
3 Improper integrals: Type 1 and Type 2; Convergence analysis for improper integrals
(Direct Comparison Test and Limit Comparison Test)
4 Multivariable functions and Introduction to the concept of derivative: Partial Derivatives
Gradient, Directional Derivative
5 In multivariable functions concept of derivative: Chain Rule and Derivative of Implicit functions
6 Extreme values and second derivative test, Extreme value problems, Lagrange multipliers
7 Introduction to Double integrals on rectangular and general regions, Fubini’s Theorem
8MIDTERM (Date and time will be announced later)
9 Polar transformation for double integrals on rectangular and general polar regions
10 Introduction to Vector Calculus: Scalar multiplication, Dot Product, Vector(Cross) product
Vector equation of lines, Vector functions, Derivative and Integral of vector functions,
Vector …elds, Gradient …elds
11 Parameterization of curves, Line integral with paratmerization
12 Conservative-nonconservative vector …elds, Potential function,
Path independence, Fundamental theorem of line integral (FTL)
13 Line integrals on closed curves by Green’s theorem
14 Introduction to Power Series(The Ratio Test and the Root Test)
15 Taylor and Maclaurin Series
