Syllabus
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Course Code: BS-131 Course Name: Applied Mathematics-I |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Sets, Relations, Functions Sets and its types: Operations on sets, complement of a set, Cartesian Product of sets, relations , functions, types of functions, Trigonometric functions: Introduction, Angles, Trigonometric functions, Trigonometric functions of sum and difference of two angles, Trigonometric equations, Inverse Trigonometric functions: Introduction, basic concepts and its properties. |
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| 2 | Pre-Calculus Complex Numbers: Introduction, Algebra of Complex Numbers, Modulus and the conjugate of a complex number, quadratic equations, Limits and Derivatives: Introduction, Limits, Limits of Trigonometric Functions, Derivatives (single variable). |
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| 3 | Differential Calculus Continuity and Differentiability: Introduction, Continuity, Differentiability, Exponential and Logarithmic functions, Logarithmic differentiation, Derivatives of functions in parametric forms, second order derivatives, Application of Derivatives (single variable): Increasing and decreasing functions, Maxima and Minima. |
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| 4 | Integral Calculus Integrals: Introduction, Integration as an Inverse process of Differentiation, Method of Integration, Integration by Partial Fractions, Integration by Parts, Definite Integrals: Fundamental theorem of Calculus, Evaluation of Definite Integrals by Substitution, properties of Definite Integrals. |
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