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MTH102 Study Notes
Topics (18)
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Functions: Composition, Combination & Algebraic vs Transcendental
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Limits: Direct Substitution, Indeterminate Forms & Special Limits
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Continuity & Removable Discontinuities
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Differentiation I: The Definition, Power, Product & Quotient Rules
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Differentiation II: The Chain Rule with Trig, Exponential & Log Functions
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Implicit & Parametric Differentiation
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Stationary Points, Inflexion & the Second Derivative Test
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Integration I: The Power Rule & Finding the Constant
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Integration II: The Reverse Chain Rule & Substitution-Style Integrals
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Integration by Parts
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Area Under Curves & Volume of Revolution
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Functions: Evaluating, Composing & Domain/Range
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Limits, Continuity & Rates of Change
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Differentiation Rules: Power, Product, Quotient & Chain Rule
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Applications of Differentiation: Stationary Points, Motion & Newton's Method
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Implicit & Parametric Differentiation
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Integration: Techniques, Partial Fractions & Definite Integrals
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Area Under Curves & Volume of Revolution
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Lecture Notes (4)
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Functions, Domain, Range & Graphs
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Composite Functions
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Practice Questions — Composite Functions
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Assignment on Functions (Theory)
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