The course is intended for all engineering students to have a firm foundation on Differential Equation subject in preparation for their degree-specific advanced mathematics courses. It covers the first order differential equations, higher differential equations of nth order and systems of first order linear differential equations. It also introduces the concept of Laplace transform in solving differential equations. In this course, the students are expected to recognize the different kinds of equations, determine the existence and the uniqueness of its solution. The students are also expected to relate the differential equations applied to various practical engineering and scientific problems as well as employing computer technology in solving and verifying solutions.
- Teacher: Anthony L. Minyamin
- Enrolled students: 57
This subjects includes basic concepts of Calculus such as limits, continuity and differentiability of functions; differentiation of algebraic and transcendental functions involving one or more variables; applications of differential calculus to problems on optimization, rates of change, related rates, tangent and normal lines, and approximations; partial differentiation and transcendental curve tracing.
Course Learning Outcomes
By the end of this course, the student should be able to:
CLO1: Recall basic concepts of calculus: functions, variables, limits, and continuity
CLO2: Differentiate algebraic and transcendental functions
CLO3: Apply derivatives in curve tracing
CLO4: Apply the concept of differentiation in solving word problems
Course Outline
- Topic 1. Review of Functions
- Topic 2. Limits and Continuity
- Topic 3. The Derivative
- Topic 4. The Slope
- Topic 5. Rates of Change of Functions
- Topic 6. Maximum and Minimum Values of Functions
- Topic 7. Derivatives of Transcendental Functions
- Topic 8. The Differential
- Topic 9. Derivatives from Parametric Equations and Partial Differentiation
- Teacher: Anthony L. Minyamin
- Enrolled students: 146
- Teacher: Victoria Yap
- Enrolled students: 52
- Teacher: Victoria Yap
- Enrolled students: 260
- Teacher: Buenaventura Jr Jakosalem
- Enrolled students: 49
- Teacher: Victoria Yap
- Enrolled students: 61
- Teacher: Buenaventura Jr Jakosalem
- Enrolled students: 172
- Teacher: Aquim Bordomeo
- Enrolled students: 9
- Teacher: Jonathan B. Pacaña
- Enrolled students: 51