The course is an enrichment of the course on Euclidean Geometry. It discusses the properties and applications of other types of geometries such as finite geometry, non-Euclidean geometry, and Projective geometry.
Course Description:
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The course equips the students with knowledge and skills needed to be able to determine limits of functions, to differentiate, and to integrate algebraic, exponential, logarithmic, and trigonometric functions in one variable. It also includes exposure to more challenging problems covering continuity and areas of regions |
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Topics |
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The role of this course in the attainment of USeP VMGO, IGA, PEO and GO · VMGO · Institutional Graduate Attributes (IGA) · Graduate Outcomes (GO) · Calculus 2 - Grading System - Learning Plan - |
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Introduction to antiderivative a. Anti-derivatives b. Fundamental Theorem of Calculus c. Indefinite Integral d. The Definite Integral e. Areas and Distance |
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Techniques of Integration A. Integration by Parts B. Trigonometric Integrals C. Integration of Algebraic Functions by Trigonometric Substitution D. Integration of Rational Functions and Logistic Growth E. Integration by Other Substitution Techniques |
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Application of the Definite Integral
A. Volumes of Solids by Slicing, Disk, Washer and Cylindrical Shell B. Length of Arc of the Graph of Function C. Center of Mass of a Rod D. Center of Mass of a Lamina and Centroid of a Plane Region E. Work |
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Midterm Examination |
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Indeterminate Forms, and Improper Integrals A. The indeterminate Form 0/0 and Cauchy’s Mean Value Theorem B. Other Indeterminate Forms C. Improper Integrals with Infinite Limits of Integration D. Other Improper Integrals |
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Polar Coordinate System 1. Polar Functions 2. Polar Graphs Polar Curves 3. Area of Regions in Polar Coordinate
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