This is an introductory course to Calculus first implemented for Maseno University, Kenya in 2019 for their Calculus I course.

The assessment for the course is 10 weekly mastery and test quizzes. The questions were almost entirely developed using STACK for automated feedback. Most questions include a randomised component.

The course refers to the open e-book Calculus I by Paul Dawkins.

**Course Description**

Sequences and Series: Arithmetic and geometric sequences and series. Systems of linear equations: Methods of solution. Sets: operation on set, Venn diagrams. Trigonometric functions, their graphs and inverses; conversions from degrees to radians and vice versa; Addition, multiple angle and sectors formulae; Trigonometric identities and equations; Sine and Cosine rules; Standard trigonometric formulae.Algebra: Surds, Logarithms and Indices, equations and inequalities. Remainder theorem and its applications. Factor theorem and its applications. Permutations and combinations. Binomial theorem and its geometric representations. Complex numbers: Modulus, Arguments, de Moivre’s theorem and applications, Roots of complex numbers. Hyperbolic functions: Properties, Graphs.

**Lectures**

- Mathematics Programs Students

- Venue: NL 5 7-9 am (Tuesday)

LH 15 7-8 am (Wednesday)

2. Education/ Other Sciences/ Art Programs Students

- Venue: LH 5 7-9 am (Tuesday)

LH 15 7-8 am (Wednesday)

**Course Lecturer: ** Dr. C. Nafula

cammynaf@maseno.ac.ke

**Recommended reference materials **

- A. J. Sadler and D. W. S. Thorning, Understanding Pure Mathematics, Oxford University Press, 1987
- L. Gilbert and J. Gilbert, College Algebra with Trigonometry, McGraw-Hill Inc., 1994.
- R. Smedley and G. Wiseman, Introducing Pure Mathematics, Oxford University Press, 2001.
- M. R. Spiegel and R. E. Moyer, Schaum’s Outline of College Algebra, McGraw-Hill Education, 2014.
- B. Gautler and M. Gautler, Further Pure Mathematics, Oxford University Press, 2001.

N.B - There are more online reference materials will be given on each topic of study. i.e. Week 1 here which is on SETs and SETs operations has stated the specific references attached to it with their web links.

** **

**Course assessment**

The course will be assessed in two parts:

- Coursework (continuous assessment tests) which will normally contribute 30% of the

total mark.

- Written end of semester examination shall normally contribute 70% of the total mark.

Thank you