MATH 102: Elementary Mathematics II

Course Description

MTH 102: Elementary Mathematics II Unijos Lecture Note is a continuation of Elementary Mathematics I, designed to provide students with a solid foundation in basic mathematical concepts and techniques. This course typically covers topics such as algebra, geometry, trigonometry, and introductory calculus, emphasizing problem-solving and practical applications.

Course Structure

1. Algebra
   • Polynomials: Operations, factoring, and solving polynomial equations
   • Rational Expressions: Simplification, operations, and solving rational equations
   • Exponential and Logarithmic Functions: Properties, equations, and applications
   • Systems of Equations: Solving systems using substitution, elimination, and matrix methods
2. Geometry
   • Basic Geometric Shapes: Properties and relationships of lines, angles, triangles, and circles
   • Coordinate Geometry: Equations of lines and circles, distance and midpoint formulas
   • Transformations: Translations, rotations, reflections, and dilations
   • Congruence and Similarity: Criteria and applications in problem-solving
3. Trigonometry
   • Trigonometric Functions: Definitions, unit circle, and graphs
   • Trigonometric Identities: Fundamental identities, addition and subtraction formulas
   • Solving Trigonometric Equations: Techniques and applications
   • Applications: Solving right and oblique triangles, trigonometric applications in real-world problems
4. Introductory Calculus
   • Limits and Continuity: Understanding limits, evaluating limits, and continuity
   • Differentiation: Basic differentiation rules, applications of derivatives in graphing and optimization
   • Integration: Basic integration techniques, definite and indefinite integrals, applications of integrals
5. Statistics and Probability (if included)
   • Descriptive Statistics: Measures of central tendency and dispersion
   • Probability: Basic concepts, conditional probability, and counting techniques
   • Distributions: Common probability distributions and their properties

Learning Outcomes

By the end of this course, students should be able to:

• Apply algebraic techniques to solve equations and systems of equations.
• Understand and use geometric principles in various contexts.
• Utilize trigonometric functions and identities to solve problems.
• Understand the basic concepts of limits, differentiation, and integration.
• Apply mathematical concepts to solve practical problems in various fields.

Assessment Methods

• Exams and Quizzes: To evaluate theoretical understanding and problem-solving skills.
• Homework and Assignments: To practice and reinforce concepts learned in lectures.
• Projects: To apply mathematical techniques to more complex problems and real-world scenarios.
• Class Participation: To encourage engagement and active learning