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Main
UQU Programs
Electronics and Communication Engineering

Calculus for Engineering (1)

MTH1181
4 hours English

Calculus for Engineering (1)

Calculus 1 for Engineering
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
1.1 Mapped to: K1

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

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

Evaluate limits of functions using limit theorems and apply continuity principles to determine points of discontinuity.

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

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

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

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

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

Interpret the Mean Value Theorem for integrals and apply it to practical problems involving averages and changes over intervals.

Teaching Strategy Lectures
Assessment Methods Exams, quizzes, Homework
3.1 Mapped to: V3

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

Teaching Strategy Assignments
Assessment Methods Homework
Assessment
Weight
Two Major Exams
%
Quizzes and Assignments
20%
Final Exam
40%
Total
60%