Page 153 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

chain rule, implicit Maclaurin series. Calculus with
differentiation. Extreme values parametric curves, polar
of functions, the mean value coordinates. Three-
theorem, monotonic functions dimensional coordinate
and the first derivative test, systems, vectors, the dot
concavity and curve sketching, product, the cross product,
antiderivatives. Sigma notation triple product, lines and planes,
and limits of finite sums, the cylinder and quadric surfaces.
definite integral, the Vector-valued functions, space
fundamental theorem of curves, derivatives and
calculus, indefinite integrals integrals of vector functions.
and the substitution method,
the definite integrals Assessment:
substitution and the area Continuous Assessment: 40%
between curves, logarithms Final Examination: 60%
functions, exponential
functions, indeterminate forms
and L’hopital’s Rule. SIM1004
FUNDAMENTALS OF
Assessment: COMPUTING
Continuous Assessment: 40%
Final Examination: 60% MATLAB - Matlab environment,
matrices, constants and
variables, operations, built-in
SIM1003 functions, formatted output,
CALCULUS II plotting graphs, expressions
and logical data, branches and
Inverses trigonometric loops, scripting, user-defined
functions, hyperbolic functions, functions. Applications to
inverses hyperbolic functions. selected mathematical
Basic integration formulas, problems.
integration by parts,
trigonometric integrals, Assessment:
trigonometric substitutions, Continuous Assessment: 50%
integration of rational functions Final Examination: 50%
by partial fractions, improper
Integrals. Sequence, infinite
series, the integral test, SIM1005
comparison tests, absolute FUNDAMENTALS OF
convergence, the ratio and root SPREADSHEETS
tests, alternating series test,
conditional convergence, Basics of worksheets, entering
power series, Taylor and labels, numbers and formulae.

153