Prerequisites and co-requisites |
Calculus I |
Language of instruction |
English |
Type |
Required |
Level of Course |
Bachelor's |
Lecturer |
Asst. Prof. Ali Kemal HAVARE |
Mode of Delivery |
Face to Face |
Suggested Subject |
|
Professional practise ( internship ) |
Available |
Objectives of the Course |
The aim of this course is to help students learn, understand, explain, and use calculus, and to prepare them for further study in engineering.
|
Contents of the Course |
Transcendental functions,
L'Hopital's rule, Integral solving techniques, Simple first ODEs,
Power series,
Taylor and Maclaurin Series,
Numerical integration,
Polar coordinates,
Vector operations, Partial derivaties, Multiple integrals. |
# |
Learning Outcomes |
1 |
Define algebraic and transcendental functions, |
2 |
Use L'Hopital's rule to calculate limits of indeterminate forms, |
3 |
Solve improper and proper integrals, |
4 |
Solve simple first order differential equations, |
5 |
Do algebra and calculus with power series, |
6 |
Identify and use Taylor and Maclaurin Series, |
7 |
Solve integrals numerically, |
8 |
Do algebra and calculus using polar coordinates, |
# |
Subjects |
Teaching Methods and Technics |
1 |
Transcendental functions: Inverse functions, natural logarithm, exponential functions |
lecture |
2 |
Transcendental functions: L'Hopital rule, hyperbolic functions |
lecture |
3 |
Integral techniques: Partial integrals, trigonometric integrals, integrals of rational functions |
lecture |
4 |
Numerical integral calculation |
lecture |
5 |
First order differential equations and their applications |
lecture |
6 |
Arrays and series: Power series |
lecture |
7 |
Arrays and series: Taylor and Maclaurin series |
lecture |
8 |
Midterm |
|
9 |
Polar coordinates, drawing in polar coordinates |
lecture |
10 |
Vector operations
|
lecture |
11 |
Integrals of vector functions |
lecture |
12 |
Partial derivatives |
lecture |
13 |
Double integrator |
lecture |
14 |
Triple integrals |
lecture |
15 |
Integral account in vector fields |
lecture |
16 |
Final Exam |
|
# |
Learning Outcomes |
Program Outcomes |
Method of Assessment |
1 |
Define algebraic and transcendental functions, |
1 |
1͵2 |
2 |
Use L'Hopital's rule to calculate limits of indeterminate forms, |
1 |
1͵2 |
3 |
Solve improper and proper integrals, |
1 |
1͵2 |
4 |
Solve simple first order differential equations, |
1 |
1͵2 |
5 |
Do algebra and calculus with power series, |
1 |
1͵2 |
6 |
Identify and use Taylor and Maclaurin Series, |
1 |
1͵2 |
7 |
Solve integrals numerically, |
1 |
1͵2 |
8 |
Do algebra and calculus using polar coordinates, |
1 |
2 |