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Calculus and Analytic Geometry: BSSE Course Outline
Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis.
1. Limits and Continuity
o Introduction to functions
o Introduction to limits
o Techniques of funding limits
o Indeterminate forms of limits
o Continuous and discontinuous functions and their applications
2. Differential calculus
o Concept and idea of differentiation
o Geometrical and Physical meaning of derivatives
o Rules of differentiation
o Techniques of differentiation,
o Rates of change.
o Tangents and Normals lines
o Chain rule, implicit differentiation, linear approximation.
3. Applications of differentiation
o Extreme value functions
o Mean value theorems
o Maxima and Minima of a function for single-variable
4. Integral calculus
o Concept and idea of Integration
o Indefinite Integrals
o Techniques of integration
o Riemann sums and Definite Integrals
o Applications of definite integrals
o Improper integral