EB101 – Engineering Mathematics (1)

Course lecturer :

  • Dr. Mostafa Kamel

Course assistant :

  • Eng. Fayza El-Amrawy
  • Eng. Hanan El-Gammal

Course objectives :

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 description :

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 assessment :

Lecture Quizzes & Reports: 14%. Tutorial Quizzes & Assignments: 10%. Practical works (MATLAB): 6%. Midterm written exam: 20%. Final written exam: 50%.

Recommended text books :

Robert A. Adams, “A Complete Course: Calculus,” 6th edition, Addison- Wesley, 2006.

Recommended refrences :

Robert A. Adams, “A Complete Course: Calculus,” 6th edition, Addison- Wesley, 2006.