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FSc Part 2 Mathematics – 16-Week Course Outline
Total Weeks: 16
Total Marks: 100 (Theory: 85 + Practical: 15)
Recommended Book: Mathematics Part II by Punjab Textbook Board
Course Contents and Weekly Plan
Week 1: Functions and Limits
- Topics Covered:
- Definition of Functions, Domain, and Range
- Types of Functions (One-to-One, Onto, Inverse)
- Introduction to Limits
- Assignments: Practice problems on functions.
- Assessment: Quiz 1
Week 2: Limits and Continuity
- Topics Covered:
- Evaluation Techniques for Limits
- Continuous and Discontinuous Functions
- Assignments: Exercises on limits.
- Assessment: Quiz 2
Week 3: Differentiation Basics
- Topics Covered:
- Definition and Geometric Interpretation of Derivatives
- Basic Rules of Differentiation (Power, Sum, Difference)
- Assignments: Practice differentiation problems.
- Assessment: Test 1
Week 4: Advanced Differentiation
- Topics Covered:
- Product, Quotient, and Chain Rules
- Implicit Differentiation and Higher-Order Derivatives
- Assignments: Mixed exercises on derivatives.
- Assessment: Quiz 3
Week 5: Applications of Differentiation
- Topics Covered:
- Tangents and Normals
- Maxima and Minima Problems
- Assignments: Real-life problems using derivatives.
- Assessment: Test 2
Week 6: Integration Basics
- Topics Covered:
- Antiderivatives and Indefinite Integrals
- Techniques of Integration (Substitution, By Parts)
- Assignments: Exercises on integration techniques.
- Assessment: Quiz 4
Week 7: Definite Integrals and Applications
- Topics Covered:
- Definite Integrals and Properties
- Area Under Curves and Volume of Solids
- Assignments: Practice on definite integrals.
- Assessment: Test 3
Week 8: Analytic Geometry – Lines and Circles
- Topics Covered:
- Equations of Straight Lines (Slope, Intercept, Distance)
- Circles (Standard Form, Tangents)
- Assignments: Problems on lines and circles.
- Assessment: Quiz 5
Week 9: Conic Sections
- Topics Covered:
- Parabola, Ellipse, Hyperbola (Definitions and Equations)
- Properties and Graphs of Conic Sections
- Assignments: Practice problems on conics.
- Assessment: Quiz 6
Week 10: Vectors and Operations
- Topics Covered:
- Introduction to Vectors, Types, and Basic Operations
- Dot Product and Cross Product
- Assignments: Exercises on vector operations.
- Assessment: Test 4
Week 11: Applications of Vectors
- Topics Covered:
- Vector Applications in Geometry
- Direction Cosines and Projections
- Assignments: Geometry problems using vectors.
- Assessment: Quiz 7
Week 12: Trigonometric Identities and Equations
- Topics Covered:
- Sum, Difference, and Double Angle Formulas
- Solving Trigonometric Equations
- Assignments: Practice on identities and equations.
- Assessment: Quiz 8
Week 13: Partial Fractions
- Topics Covered:
- Introduction and Types of Partial Fractions
- Decomposition of Rational Functions
- Assignments: Exercises on partial fractions.
- Assessment: Test 5
Week 14: Probability and Permutations
- Topics Covered:
- Basic Probability Concepts
- Permutations and Combinations
- Assignments: Practice probability problems.
- Assessment: Quiz 9
Week 15: Statistics and Measures of Central Tendency
- Topics Covered:
- Mean, Median, Mode
- Standard Deviation and Variance
- Assignments: Data analysis exercises.
- Assessment: Test 6
Week 16: Revision and Final Assessment
- Activities:
- Comprehensive review of key concepts
- Solving past paper questions
- Assessment: Mock exam covering all units.
Assessment Plan
- Quizzes: 30% (9 quizzes)
- Tests: 30% (6 tests)
- Final Exam: 40%