Page 5 - Module 1 in MATH 1 (Calculus)

Course Description

The course aims to equip students with knowledge and skills needed to be able to determine the limits
and continuity of functions, to differentiate and integrate algebraic and transcendental functions, and
to solve application problems on derivatives and antiderivatives. The course further allows students
to enrich their knowledge about the course by way of reading, critiquing, and presenting published
research outputs as well as writing reflection papers and mini-research proposal.

Program Learning Outcomes (from CMO-75-s-2017, PSG)

The graduates must have the ability to

1. exhibit competence in mathematical concepts and procedures;
2. exhibit proficiency in relating mathematics to other curricular areas;

3. manifest meaningful and comprehensive pedagogical content knowledge of mathematics;
4. demonstrate competence in designing, constructing, and utilizing different forms of
assessment in mathematics;

5. demonstrate proficiency in problem-solving by solving and creating routine and non-routine
problems with different levels of complexity;
6. use effectively appropriate approaches, methods, and techniques in teaching mathematics
including technological tools; and

7. appreciate mathematics as an opportunity for creative work, moments of discovery, and
gaining insights of the world.

Course Learning Outcomes

By the end of this series of 9 modules, the students should have;

1. discuss the various concepts of functions and their graphs, limits and continuity of functions,
and the derivative and antiderivative of a function.
2. demonstrate understanding on the graph of functions, theorems on limits of functions, slope
of tangent line and derivative of functions, rules for differentiation, derivative of
trigonometric, hyperbolic, exponential, logarithmic, composite functions and the chain rule,
implicit differentiation, derivatives of higher order, relative maxima and minima of
functions, antiderivatives, and integrals of functions.
3. exhibit competence on problem solving involving applications of limits, derivatives,
indefinite and definite integrals.

4. develop higher order skills and confidence in applying and connecting the concepts of
derivatives to real world phenomena through engaging in research activities on the field.

5. use effectively online resources and digital platforms and modalities to enhance learning of
the course.
6. manifest values like accuracy, honesty, integrity, digital literacy, digital citizenship, and
internet or online etiquettes.

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