Syllabus Application
MATH 102
Calculus II
Faculty
Faculty of Engineering and Natural Sciences
Semester
Summer 2025-2026
Course
MATH 102 -
Calculus II
Time/Place
Time
Week Day
Place
Date
13:40-16:30
Wed
FASS-G062
Jul 6-Aug 21, 2026
09:40-12:30
Fri
FASS-1001
Jul 6-Aug 21, 2026
Level of course
Undergraduate
Course Credits
SU Credit:3, ECTS:6, Basic:6
Prerequisites
MATH 101
Corequisites
MATH 102R
Course Type
Lecture
Instructor(s) Information
Burçin Güneş
- Email: burcin.gunes@sabanciuniv.edu
Course Information
Catalog Course Description
Sequences and series. Power series. Taylor polynomials, Taylor series and approximation. Visualizing functions of several variables; graphs and contour diagrams. Vectors. Differentation in several variables; partial and directional derivatives. Linear and quadratic approxiamtion. Classification of local extrema. Optimization, Lagrange Multipliers. Integration in several variables. Iterated integrals. Change of variables; polar, cylindrical and spherical coordinates.
Learning Outcomes:
| 1. | Define the notion of convergence of series and use various tests to determine series convergence |
|---|---|
| 2. | Find Taylor representations of functions and approximate functions via Taylor polynomials |
| 3. | Understand and use the concept of a function of several variables, draw graphs in 3-space |
| 4. | Use the properties of vectors and operations with vectors |
| 5. | Compute partial derivatives, directional derivatives and write equations of tangent planes to surfaces |
| 6. | Apply partial derivatives to find and test local extrema |
| 7. | Evaluate double integrals in Cartesian and polar coordinates and triple integrals in Cartesian coordinates |
Course Objective
To introduce series and concepts of multivariable calculus, to relate notions in multivariable calculus to their analogues in single variable.
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Course Materials
Resources:
Calculus Early Transcendentals 2nd Edition (Global Edition), Briggs, Cochran, and Gillett.
Technology Requirements:
A mobile device to take attendance.