Official government website of the Government of Kingdom of Saudi Arabia
Link to official Saudi websites end with edu.sa

All links to official educational websites in the Kingdom of Saudi Arabia end with sch.sa or edu.sa

Government websites use the HTTPS protocol for encryption and security.

Secure websites in the Kingdom of Saudi Arabia use the HTTPS protocol for encryption.

Registered with the Digital Government Authority under number:

20250417892
Main
UQU Programs
Data Science

Introduction to linear Algebra

MTH1142
3 hours English

Introduction to linear Algebra

Mathematics Calculus 2
1 Area / Riemann Sums and Definite Integrals
2 The Fundamental Theorem of Calculus / Integration by Substitution
3 The Natural Logarithmic Function: Integration
4 Inverse Trigonometric Functions: Integration / Hyperbolic Functions
5 Area of a Region Between Two Curves
6 Volume: The Disk Method / Volume: The Shell Method
7 Arc Length and Surfaces of Revolution / Basic Integration Rules
8 Integration by Parts / Trigonometric Integrals
9 Trigonometric Substitution / Partial Fractions
10 Rational Functions of Sine & Cosine (p. 569 only) / Improper Integrals
11 Sequences / Series and Convergence
12 The Integral Test and p-Series / Comparison of Series
13 Alternating Series / The Ratio and Root Tests
14 Taylor Polynomials and Approx. / Power Series
15 Representation of Functions by Power Series / Taylor and Maclaurin Series; Binomial Series*
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%