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Description of Individual Course Units
| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits |
|---|---|---|---|---|---|
| MAT750 | MAPLE I | 3 | 5 | 5,00 |
Level of Course Unit
Lisans
Language of Instruction
Turkish
Objectives of the Course
The aim of this course is to get to know the MAPLE Mathematics Program and to solve the Basic Mathematics issues in MAPLE
Name of Lecturer(s)
Learning Outcomes
| 1 | Explain basic concepts about Calculus. |
| 2 | Explain limit concept of functions with single variable |
| 3 | Explain the concept of continuity of a function. |
| 4 | Express basis of derivation. |
| 5 | Applies the concept of derivative to related rates and extreme value problems and sketch the graph of a function. |
Mode of Delivery
Formal Education
Prerequisities and Co-Requisities
None
Recommended Optional Programme Components
None
Content of the Course
Using Maple commands, Real numbers and real line, intervals, the absolute value, equations and inequalities involving absolute values, Cartesian coordinates in the plane, the distance between two points, graphs, Coordination system in the plane, equations of lines, equations of circles and conics, Functions and their graphs, even and odd functions, symmetry and reflections, Operations of Functions (sums, differences, products, quotients and multiples by a scalar of functions), composite functions, piecewise defined functions, The trigonometric functions, Limitation, continuity and derivative, Derivatives of trigonometric functions, The mean-value theorem, increasing and decreasing functions, approximating small changes, Higher-order derivatives, implicit differentiation, Inverse functions, exponential and logaritmic functions, Applications of derivative, Complex numbers.
Weekly Detailed Course Contents
| Week | Subjects (Theoretical) | Teaching Methods | Preparatory |
|---|---|---|---|
| 1 | Using Maple commands, Real numbers and real line, intervals, the absolute value, equations and inequalities involving absolute values, Cartesian coordinates in the plane, the distance between two points, graphs | ||
| 2 | Using Maple commands, Coordination system in the plane, equations of lines, equations of circles and conics | ||
| 3 | Using Maple commands, Functions and their graphs, even and odd functions, symmetry and reflections | ||
| 4 | Using Maple commands, Operations of Functions (sums, differences, products, quotients and multiples by a scalar of functions), composite functions, piecewise defined functions | ||
| 5 | Using Maple commands, The frigonometric functions | ||
| 6 | Using Maple commands, Limitation, continuity and derivative | ||
| 7 | Using Maple commands, Limitation, continuity and derivative | ||
| 8 | Using Maple commands, Derivatives of trigonometric functions | ||
| 9 | Using Maple commands, Derivatives of trigonometric functions | ||
| 10 | Using Maple commands, The mean-value theorem, increasing and decreasing functions, approximating small changes | ||
| 11 | Using Maple commands, Higher-order derivatives, implicit differentiation | ||
| 12 | Using Maple commands, Inverse functions, exponential and logaritmic functions | ||
| 13 | Using Maple commands, Applications of derivative | ||
| 14 | Using Maple commands, Complex numbers |
Text Book / Material / Recommended Resources
Maple ve Maple ile Matematik, Basri ÇELİK, Dora Yayıncılık
Assessment Methods and Criteria
| Term (or Year) Learning Activities | Quantity | Weight |
|---|---|---|
| Quiz | 3 | 100 |
| Total | 100 | |
| End Of Term (or Year) Learning Activities | Quantity | Weight |
| Final Examination | 1 | 100 |
| Total | 100 | |
| Term (or Year) Learning Activities | 40 | |
| End Of Term (or Year) Learning Activities | 60 | |
Work Pacement(s)
None
Workload Calculation
| Activities | Number | Time (hours) | Total Work Load (hours) |
|---|---|---|---|
| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 2 | 28 |
| Self Study | 14 | 4 | 56 |
| Individual Study for Mid term Examination | 3 | 2 | 6 |
| Individual Study for Final Examination | 7 | 3 | 21 |
| Homework | 1 | 5 | 5 |
| Total Work Load (hours) | 120 | ||
Contribution of Learning Outcomes to Programme Outcomes
| PO 1 | PO 2 | PO 3 | PO 4 | PO 5 | PO 6 | PO 7 | PO 8 | PO 9 | PO 10 | PO 11 | PO 12 | PO 13 | PO 14 | PO 15 | |
| LO 1 | 5 | 4 | 4 | 5 | |||||||||||
| LO 2 | 5 | 4 | 4 | 5 | |||||||||||
| LO 3 | 5 | 4 | 4 | 5 | |||||||||||
| LO 4 | 5 | 4 | 4 | 5 | |||||||||||
| LO 5 | 5 | 4 | 4 | 5 |
* Contribution Level: 1 Very low 2 Low 3 Medium 4 High 5 Very High