BE101 – Engineering Mathematics (1)
- Dr. Mostafa Kamel
Course lecturer :
- Eng. Fayza El-Amrawy
- Eng. Hanan El-Gammal
Course assistant :
To enable students to: 1- Provide theoretical analysis of limits. 2- Take the derivatives of basic functions (polynomial, trigonometric, exponential, logarithm). 3- Use derivatives in applications and to use the language and methods of mathematics in the description, analysis and design of engineering systems and to have a composite understanding of partial fractions, binomial theorem and matrices.
Course objectives :
Part A (Differential Calculus): 1. Revision (Functions, Limits & Continuity). 2. Differentiation Definition and Basic Rules. 3. Chain Rule & Derivatives of Trigonometric Functions. 4. Trigonometric Functions. 5. Inverse Trigonometric Functions. 6. Exponential & Logarithmic Functions. 7. Hyperbolic & Inverse Hyperbolic Functions. 8. Implicit Differentiation & Applications of Differentiation. 9. Nth derivative. 10. L’Hopital’s Rule. 11. Taylor & Maclaurin Series. 12. Indefinite Integration. Part B (Algebra) 1. Partial Fractions. 2. Matrices. The course also includes Matlab Sessions.
Course description :
Lecture Quizzes & Reports: 14%. Tutorial Quizzes & Assignments: 10%. Practical works (MATLAB): 6%. Midterm written exam: 20%. Final written exam: 50%.
Course assessment :
Robert A. Adams, “A Complete Course: Calculus,” 6th edition, Addison- Wesley, 2006.
Recommended text books :
Robert A. Adams, “A Complete Course: Calculus,” 6th edition, Addison- Wesley, 2006.