Code Number: Math Ed. 415
Mathematics-I
BICTE | First Semester | Full Marks: 100
NatureTheory
Credit Hours3 Hours
Teaching Hours48 Hours
SemesterFirst
📜 Old Question Papers
📑 Detailed Syllabus
Unit I: Sets 6 Hrs
Types, relations, operations, cardinal numbers, algebra of sets, and Euler-Venn diagrams.
Unit II: Symbolic Logic 5 Hrs
Statements, truth values, connectives, tautology, contradictions, and validity of arguments.
Unit III: Real Number System 7 Hrs
Peano's axioms, rational/irrational numbers, properties, and absolute values.
Unit IV: Functions and Graphs 6 Hrs
Mapping types, domain/range, composite/inverse functions, and quadratic graphs.
Unit V: Equations and Inequalities 10 Hrs
Roots of linear/quadratic forms, inequalities, and Graphical Linear Programming.
Unit VI: Sequences and Series 9 Hrs
AP, GP, and HP; means relations; sum of arithmetic and geometric series.
Unit VII: Logarithms 5 Hrs
Definition, graphs, properties, change of base, and computation.
📊 Evaluation Scheme
| Assessment | Format | Marks |
|---|---|---|
| Internal (40) | Attendance & Class Participation | 10 |
| 3 Periodic Assignments | 30 | |
| External (60) | Objective: 10 MCQs | 10 |
| Short: 6 Questions (5 marks each) | 30 | |
| Long: 2 Questions (10 marks each) | 20 |
📂 Learning Materials
📚 References
Bajracharya P. M. - Fundamentals of Mathematics
Baranov I. - Mathematics for Pre-college Students
Sarkar, S.K. - Discrete Mathematics
Pandit, R. P - Modern Mathematics
💡 Study Tips
- Focus on Euler-Venn diagrams for Unit I.
- Practice truth tables for Symbolic Logic.
- Master the relation between AM, GM, and HM.
- Quadratic roots are frequent in Long Questions.
