Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2MATH112Calculus II4+0+04629.07.2024
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Civil Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course To learn the concepts and methods of differential and integral calculus for functions of a real variable. To apply calculus to problems taken primarily from the physical and engineering sciences. The mathematical preparation for higher level mathematics and science courses. An understanding of the logical sequence of advanced mathematics.
Course Content Antiderivatives, Area and estimating with finite sums, limits of finite sums, the definite integral. Fundamental theorem of calculus, indefinite integrals and substitution. Area between curves. Volumes using cross-sections, volumes using cylindrical shells. Inverse functions and their derivatives, natural logarithms, exponential functions. L’Hospital Rule, Integration by parts, trigonometric integrals, Improper integrals, Sequences, Infinite series, the integral test, Comparison tests, The ratio and root tests. Alternating series, Power series. Taylor and Maclaurin series, Convergence of Taylor series.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator Associate Prof.Dr. Ece Yetkin Çelikel
Name of Lecturers None
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Lecture notes
Course Notes Thomas, Weir, J. Hass, Thomas Calculus Early Transcendentals, 13’th Edition, Pearson, 2014, ISBN10 0321884078

Course Category
Mathematics and Basic Sciences %60
Engineering %40

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 13 4 52
Hours for off-the-c.r.stud 14 7 98
Mid-terms 1 2 2
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 5 154

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 A comprehension of mathematics (algebra, differential, integration …) and fundamentals of science
2 Ability to apply knowledge of mathematics, science and engineering to problems in electronics engineering
3 Ability to recognize the needs and challenges of our age and to assess the global and social impact of engineering solutions
4 Ability to identify, formulate and solve engineering problems.
5 Ability to effectively communicate knowledge and opinions via written, oral visual means.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Antiderivatives, Area and estimating with finite sums, limits of finite sums, the definite integral
2 Fundamental theorem of calculus, indefinite integrals and substitution
3 Area between curves.
4 Volumes using cross-sections, volumes using cylindrical shells.
5 Inverse functions and their derivatives, natural logarithms, exponential functions.
6 L’Hospital Rule, Inverse trigonometric functions
7 Integration by parts, trigonometric integrals
8 Midterm exam
9 Trigonometric substitutions, integration of rational functions by partial fractions
10 Improper integrals, Sequences
11 Infinite series, the integral test
12 Comparison tests, The ratio and root tests
13 Alternating series, absolute and conditional convergence, Power series
14 Taylor and Maclaurin series, Convergence of Taylor series

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5
C1 5
C2 5
C3 5
C4 5
C5 5

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant