EPOKA UNIVERSITY
FACULTY OF ARCHITECTURE AND ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
COURSE SYLLABUS
2024-2025 ACADEMIC YEAR
COURSE INFORMATIONCourse Title: CALCULUS II |
Code | Course Type | Regular Semester | Theory | Practice | Lab | Credits | ECTS |
---|---|---|---|---|---|---|---|
MTH 102 | A | 2 | 3 | 2 | 0 | 4 | 7 |
Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature) | Dr. Emre Eroğlu eeroglu@epoka.edu.al |
Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours: | Dr. Emre Eroğlu eeroglu@epoka.edu.al |
Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours: | NA |
Language: | English |
Compulsory/Elective: | Compulsory |
Study program: (the study for which this course is offered) | Bachelor in Civil Engineering (3 years) |
Classroom and Meeting Time: | |
Teaching Assistant(s) and Office Hours: | NA |
Code of Ethics: |
Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline" |
Attendance Requirement: | |
Course Description: | Infinite series, power series, Taylor series. Vectors, lines and planes in space. Functions of several variables: Limit, continuity, partial derivatives, the chain rule, directional derivatives, tangent plane approximation and differentials, extreme values, Lagrange multipliers. Double and triple integrals with applications. The line integral. |
Course Objectives: | The students will demonstrate an understanding of the calculus of exponential, logarithmic, and inverse trigonometric functions. The students will also develop a basic understanding of advanced integration techniques, infinite sequences and series as well as selected topics from parametric equations, polar coordinates, and conic sections. |
BASIC CONCEPTS OF THE COURSE
|
1 | Infinite series, power series, Taylor series. |
2 | Vectors, lines and planes in space. |
3 | Functions of several variables |
4 | mit, continuity, partial derivatives, the chain rule, directional derivatives, tangent plane approximation and differentials, |
5 | Lagrange multipliers. |
6 | Double and triple integrals with applications. |
7 | The line integral. |
COURSE OUTLINE
|
Week | Topics |
1 | Application of integrals: volumes of solids by disc, washer and cylindrical shell methods, arc length of curves and surfaces of revolution. |
2 | Integration by Substitution, Integration by Parts, Trogonometric IntegrationImproper integrals, their types. Divergence and convergence. Evaluation. |
3 | Differential Equations,Direction Fields,Euler’s Method,Separable equations,Orthogonal Trajectories |
4 | Differential Equations,1st Order Linear Equations |
5 | Differential Equations,2nd Order Linear Equations |
6 | Parametric Equation, Polar coordinates. Tangents, Area, arc length. |
7 | Infinite sequences. Divergence and convergence. Monotone sequences. Upper and lower bounds.Divergence test. |
8 | Integral test, comparison test, limit comparison test,ratio test, root test, alternating series test. |
9 | Absolute convergence. Strategy for series, estimations. Power series and functions. Taylor series. Applications of series. |
10 | Functions of several variables. Limits. |
11 | Partial derivatives, directional derivatives. |
12 | Elements from vector calculus: line integrals, Green's Theorem, Stokes' Theorem and the Divergence Theorem. |
13 | Double integrals, triple integrals, their applications. |
14 | Double integrals, triple integrals, their applications. |
Prerequisite(s): | MTH 101 - Calculus I |
Textbook(s): | Textbook: "STEWART CALCULUS Early Transcendentals", James Stewart (8th edition) |
Additional Literature: | "Thomas' Calculus: Early Transcendentals", George B. Thomas Jr. (12th edition) |
Laboratory Work: | no |
Computer Usage: | no |
Others: | No |
COURSE LEARNING OUTCOMES
|
1 | Demonstrate the knowledge and skills characteristic of life-long learning: independent thinking, self-discipline, and ethical behavior. |
2 | Develop the technological skills needed to advance academic pursuits at a senior institution. |
3 | Develop a set of analytical and problem solving skills that can be applied to real-world situations. |
4 | Demonstrate interpersonal skills that reflect an understanding of diversity, the need for teamwork, and the global nature of society. |
5 | Be prepared to pursue advanced studies at a senior institution. |
COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES
(Blank : no contribution, 1: least contribution ... 5: highest contribution) |
No | Program Competencies | Cont. |
Bachelor in Civil Engineering (3 years) Program | ||
1 | an ability to apply knowledge of mathematics, science, and engineering | 5 |
2 | an ability to design a system, component, or process to meet desired needs | 5 |
3 | an ability to function on multidisciplinary teams | 4 |
4 | an ability to identify, formulate, and solve engineering problems | 5 |
5 | an understanding of professional and ethical responsibility | 5 |
6 | an ability to communicate effectively | 4 |
7 | the broad education necessary to understand the impact of engineering solutions in a global and societal context | 5 |
8 | a recognition of the need for, and an ability to engage in life long learning | 5 |
9 | a knowledge of contemporary issues | 4 |
10 | an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | 3 |
11 | skills in project management and recognition of international standards and methodologies | 3 |
COURSE EVALUATION METHOD
|
Method | Quantity | Percentage |
Midterm Exam(s) |
1
|
40
|
Final Exam |
1
|
60
|
Total Percent: | 100% |
ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)
|
Activities | Quantity | Duration(Hours) | Total Workload(Hours) |
Course Duration (Including the exam week: 16x Total course hours) | 16 | 5 | 80 |
Hours for off-the-classroom study (Pre-study, practice) | 14 | 3 | 42 |
Mid-terms | 1 | 25 | 25 |
Assignments | 0 | ||
Final examination | 1 | 28 | 28 |
Other | 0 | ||
Total Work Load:
|
175 | ||
Total Work Load/25(h):
|
7 | ||
ECTS Credit of the Course:
|
7 |
CONCLUDING REMARKS BY THE COURSE LECTURER
|
ds |