Description
Zohal Academy Advanced Math Class Syllabus
Course Title: Advanced Mathematics
Duration: 12 Weeks
Class Sessions: 12 sessions (1 hour and 15 minutes each)
Mode: Online
Instructor: To Be Determined
Course Overview
The Advanced Mathematics course is designed for students who have a solid foundation in intermediate math and are ready to explore more complex mathematical concepts. This course will cover advanced algebra, trigonometry, calculus basics, and data analysis to prepare students for higher education or professional applications of mathematics.
Course Objectives
- Solve complex algebraic equations and inequalities.
- Understand and apply trigonometric concepts.
- Develop foundational knowledge in calculus.
- Analyze and interpret data using advanced statistical methods.
- Enhance problem-solving skills for real-world and theoretical scenarios.
Weekly Breakdown
Week 1: Review of Intermediate Concepts
- Quick review of linear equations, systems, and inequalities.
- Introduction to advanced math tools and strategies.
Week 2: Quadratic Functions and Equations
- Solving quadratic equations by factoring, completing the square, and quadratic formula.
- Graphing parabolas and understanding vertex form.
- Applications of quadratic functions.
Week 3: Polynomial and Rational Functions
- Simplifying and factoring polynomials.
- Understanding end behavior and zeros of polynomial functions.
- Operations with rational expressions and equations.
Week 4: Advanced Trigonometry
- Understanding sine, cosine, and tangent.
- Using the unit circle to find trigonometric values.
- Solving trigonometric equations.
Week 5: Exponential and Logarithmic Functions
- Understanding exponential growth and decay.
- Introduction to logarithms and their properties.
- Solving exponential and logarithmic equations.
Week 6: Sequences and Series
- Arithmetic and geometric sequences.
- Summation notation and formulas.
- Applications of sequences and series in problem-solving.
Week 7: Introduction to Calculus
- Understanding limits and continuity.
- Introduction to derivatives: rate of change and slopes.
- Basic differentiation rules.
Week 8: Applications of Derivatives
- Using derivatives to find maxima and minima.
- Understanding concavity and points of inflection.
- Solving optimization problems.
Week 9: Data Analysis and Probability
- Advanced statistical methods: standard deviation, z-scores.
- Probability distributions and expected value.
- Interpreting real-world data.
Week 10: Problem-Solving with Advanced Mathematics
- Applying advanced concepts to real-life problems.
- Strategies for mathematical modeling.
- Group activities and collaborative problem-solving.
Week 11: Review and Practice
- Comprehensive review of algebra, trigonometry, calculus, and data analysis.
- Practice tests and feedback.
Week 12: Final Assessment and Certification
- Final math test covering all topics.
- Group presentations on applied mathematics projects.
- Certificate distribution and celebration.
Materials and Resources
- Advanced Math textbook (provided by Zohal Academy).
- Scientific calculator or graphing tools.
- Online resources and video tutorials.
- Worksheets and problem sets.
Student Expectations
- Attend all classes and actively engage in discussions.
- Complete weekly assignments and projects.
- Collaborate with peers during group activities.
- Maintain a respectful and focused learning environment.
Assessment Criteria
- Attendance and Participation: 20%
- Homework and Assignments: 30%
- Final Assessment: 50%
Certificate Earned: Certificate of Completion for Advanced Mathematics
Contact Information
For any questions, contact: Ms. Zohal +1-647-249-0575
