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Main
UQU Programs
Computer Science

Calculus 1

MTH1141
3 hours English

Calculus 1

Calculus 1 ()
1 Pre-Calculus: Inequalities and Absolute Values; The Rectangular / Coordinate System; functions of a single variable; 2D geometry; 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
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, 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
1.1 Mapped to: 1.1 K1

Explain key pre-calculus concepts, including inequalities, functions, and trigonometric functions, and their importance in calculus.

Teaching Strategy Lectures, Assignments Problem solving
Assessment Methods Exams, quizzes, Homework
1.2 Mapped to: 1.1 K1

Evaluate limits of functions using limit theorems and handle special cases involving trigonometric.

Teaching Strategy Lectures, Assignments Problem solving
Assessment Methods Exams, quizzes, Homework
1.3 Mapped to: 1.1 K1

Demonstrate understanding of continuity and apply continuity principles to determine points of discontinuity.

Teaching Strategy Lectures, Assignments
Assessment Methods Exams, quizzes, Homework
1.4 Mapped to: 1.1 K1

Define the basic concepts, techniques, and theorem of differentiation and integration

Teaching Strategy Lectures, Assignments
Assessment Methods Exams, quizzes, Homework
2.1 Mapped to: 2.1 S1

Apply differentiation techniques, including the chain rule, implicit differentiation, and higher-order derivatives, to solve problems involving rates of change.

Teaching Strategy Lectures, problem solving
Assessment Methods Exams, quizzes, Homework
2.2 Mapped to: 2.1 S1

Analyze real-world problems using related rates, maxima and minima, to provide solutions for optimization problems.

Teaching Strategy Lectures Case-based learning
Assessment Methods Exams, quizzes, Homework
2.3 Mapped to: 2.2 S2

Graph functions by applying derivatives to determine critical points, monotonicity, and concavity.

Teaching Strategy Lectures
Assessment Methods Exams, quizzes, Homework
2.4 Mapped to: 2.1 S1

Compute antiderivatives and definite integrals, using the Fundamental Theorem of Calculus to evaluate areas under curves and solve accumulation problems.

Teaching Strategy Lectures
Assessment Methods Exams, quizzes, Homework
3.1 Mapped to: 3.1 V1

Effectively manage their time to meet deadlines in both individual and group tasks.

Teaching Strategy Assignments Problem solving Group discussion
Assessment Methods Assignment/ Homework
Assessment
Weight
Midterm
20%
Assignments/Homework
30%
Quizzes
20%
Final
30%
Total
100%