Calculus 1 for Engineering - UQU

1 Pre-Calculus: Inequalities and Absolute Values; The Rectangular / Coordinate System; functions of a single variable; 2D gemetry; Operations on Functions (Composition and Inverse of Functions, Increasing, Decreasing, Monotonic, Function Catalog); The Trigonometric Functions; 2 Limits and Continuity: Introduction to Limits, Limit Theorems, Limit at Infinity and Infinite Limits, Limits Involving Trigonometric Functions, Continuity 3 Differentiation: The Tangent Line Problem; Definition of Derivative (Using Limits), Rules and Theorems for Finding Derivatives, Derivative of Trigonometric Function, Chain Rule, Higher Order Derivatives, Implicit Differentiation 4 Applications of derivatives: Related rates, Maxima and Minima, Monotonicity and concavity, Local extrema and extrema on open intervals, Graphing Functions Using Calculus; The Mean Value Theorem for Derivatives 5 Integration: Antiderivatives and indefinite integrals; Introduction to Area; The Definite Integral; The First Fundamental Theorem of Calculus; The Second Fundamental Theorem of Calculus; The Mean Value Theorem