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Syllabus ( MATH 102 )


   Basic information
Course title: Calculus II
Course code: MATH 102
Lecturer: Assoc. Prof. Dr. Selçuk TOPAL
ECTS credits: 7
GTU credits: 5 (4+2+0)
Year, Semester: 1, Spring
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: Calculus I-MATH 101
Professional practice: No
Purpose of the course: To teach fundamental math contents, methods and techniques, and its applications for the study of Engineering and Physics.
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Obtain fundamental math contents, methods and techniques

    Contribution to Program Outcomes

    1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
  2. Appreciate the relation between Engineering and Mathematics

    Contribution to Program Outcomes

    1. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
    2. Homework assignment
  3. Develop mathematical skills.

    Contribution to Program Outcomes

    1. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
    2. Homework assignment
   Contents Up
Week 1: Sequences and convergence of sequences
Week 2: Infinite series, Convergence tests for Positive series
Week 3: Absolute and Conditional Convergence, Power series
Week 4: Taylor and Maclaurin Series and Applications
Week 5: Analytic Geometry in Three Dimensions, Vectors
Week 6: The Cross product in 3- space, Planes and Lines,
Distances, Midterm I
Week 7: Functions of several variables, Limits and Continuity
Week 8: Partial Derivatives, Higher Order Derivatives, The
Chain Rule
Week 9: Linear Approximations, Differentiability, and Differentials, Gradients and Directional Derivatives
Week 10: Implicit Functions, Extreme Values
Week 11: Extreme Values of Functions Defined on Restricted Domains, Lagrange Multipliers, Midterm II
Week 12: Double Integrals, Iteration of Double Integrals in Cartesian Coordinates
Week 13: Double Integrals in Polar Coordinates, Triple Integrals
Week 14: Change of Variables in Triple Integrals
Week 15*: -
Week 16*: Final exam
Textbooks and materials: Calculus, R. A. Adams and C. Essex, 7th Edition, Addison Wesley
Recommended readings: Calculus Anton-Bivens-Davis¬ - Calculus: LateTranscendentals 9th Edition, Wiley 2010
Thomas Calculus
G.B. Thomas Jr., M.D. Weir, J. Hass, F.R. Giordano
Pearson Education Inc., 2005
.The Fundamentals of Mathematical Analysis

Matematik Analiz 3-4 Doç. Dr. Cevdet Cerit
Schaum's Outline of Advanced Calculus,Second Edition: Robert C. Wrede, Murray Spiegel
Genel Matematik 2: Prof. Dr. Mustafa BALCI .
Temel ve Genel Matematik –H. Hilmi Hacısalihoğlu-Mustafa Balcı-Fikri Gökdal

  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 6,11 60
Other in-term studies: 0
Project: 0
Homework: 0
Quiz: 0
Final exam: 16 40
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 6 14
Practice, Recitation: 0 0
Homework: 0 0
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 10 2
Mid-term: 4 2
Personal studies for final exam: 15 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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