BSc Maths Syllabus and Subjects 2023
Duration
3 Years
Average Fees
INR 5000 - 1 LPA
Updated on Jun 6, 2023 by Kripal Thapa
Updated on Jun 6, 2023 by Kripal Thapa
BSc Maths Syllabus places a strong emphasis on the acquisition of fundamental mathematical abilities in algebra, calculus, and data analysis. The BSc Mathematics course spans six semesters in three years, covering important subjects like algebra, integral calculus & trigonometry, advanced calculus, and mathematical methods.
Due to the course's numerous potential applications, the BSc Mathematics syllabus offers candidates a wide variety of employment opportunities. Following graduation, students have more job opportunities in fields like computer science and statistics including that of a System Analyst, R&D Specialist, Market Researcher, Statistician, etc.
Table of Content
B.Sc Maths Syllabus Semester Wise
BSc Maths syllabus is a multidisciplinary subject that includes important topics of complex mathematical analysis and scenarios. The subjects have both core subjects that covers the fundamentals of maths and the electives is offered during third or 5th semester focusing on skill-based course.
Below is the tabulated list of BSc Mathematics syllabus according to semester wise system:
BSc Maths 1st Year Syllabus
Listed below are the BSc 1st year Maths syllabus:
|
BSc Maths Syllabus Semester 1st |
BSc Maths 2nd Semester Syllabus |
|
Language I |
Language II |
|
Calculus |
Analytical Geometry of three dimensions |
|
Geometry |
Geometry & Vector Calculus |
|
Trignometry |
Calculus–II |
|
Environmental Studies |
Human Rights - Valued Education |
|
Discrete Mathematics |
Common Course English 2 |
|
Common Course English |
- |
BSc Maths First Year Practical Subjects
Here is a list of the first-year practical subjects for the BSc Maths syllabus:
- Introduction to SciLab / Maxima and commands
- Computation of inverse of a matrix using Cayley – Hamilton theorem
- Tracing of Cartesian curves
BSc Maths 2nd Year Syllabus
Here is a table of the B.Sc Mathematics syllabus for second year:
|
BSc Maths 3rd Semester Syllabus |
BSc Maths 4th Semester Syllabus |
|
Number Theory |
Transform Techniques |
|
Financial Mathematics (Elective) |
Mechanics |
|
Integral Calculus |
Vector Analysis |
|
Differential Equations |
Riemann Integration and Series of Functions |
|
Public Relations (Elective) |
Ring Theory and Linear Algebra I |
BSc Maths Second Year Practical Subjects
Here is a list of the second-year practical subjects for the BSc Maths syllabus:
- Examples on Cauchy’s root test, Raabe’s and Ratio test
- Verification of binary operations
- Verification of Euler’s theorem, its extension and Jacobian
- Numerical methods using C programming
BSc Maths 3rd Year Syllabus
Here is a table of the B.Sc Mathematics syllabus for 3rs year:
|
BSc Mathematics 5th Semester Syllabus |
BSc Mathematics 6th Semester Syllabus |
| Linear Programming | Ring Theory and Linear Algebra II |
| Point Set Topology | Graph Theory and metric spaces |
| Complex Analysis | Complex Analysis II |
| Boolean Algebra and Automata Theory (Elective) |
Operations Research (Elective) |
| Human Rights and Mathematics for Environmental Studies (Elective) | Mathematics Modelling |
| Mathematical Analysis |
Project Work |
BSc Maths Third Year Practical Subjects
Here is a list of the third-year practical subjects for the BSc Maths syllabus:
- Verification of Riemann integrals
- Evaluation of contour integral by Cauchy’s integral formula and plot the solutions
- Evaluation of contour integral by using Cauchy Residue theorem
BSc Mathematics Subjects
BSc Maths syllabus involves a study of geometry, trigonometry, calculus, and other theories. The core subjects consist of algebra, advanced calculus, and mathematical methods. The electives offered in BSc Maths include Probability, Game Theory, Mathematical Finance, etc.
Below given are the BSc Maths subjects:
Core Subjects:
The BSc Mathematics syllabus has core subjects that provide candidates with an idea of the foundational structure of the course. Below is the list of the core subjects:
- Calculus
- Probability
- Statistics
- Algebra
- Real Analysis
- Communication Skills
- Linear Differential Equations
- Group Theory
- Matrices
- Analytical Geometry
- Fourier Analysis
- Metric Space
- Ring Theory
- Computer Application
- Complex Analysis
- Linear Algebra
- Numerical Methods
Elective Subjects:
The elective subjects highlight the important career skills that candidates require to excel the course and career. Below is a list of electives offered in BSc Mathematics:
- Analytical Geometry
- Vector Calculus
- Theory of Equations
- Probability and Statistics
- Mathematical Finance
- Boolean Algebra
- Transportation and Game Theory
Practical Subjects:
Practical subjects develop skills in candidates which helps them during their internships and career advancement. Below is a list of practical subjects offered in BSc Math syllabus:
- Verification of Riemann integrals
- Evaluation of contour integral by Cauchy’s integral formula and plot of the solutions
- Evaluation of contour integral by using the Cauchy Residue theorem
- Examples of Cauchy’s root test, Raabe’s and Ratio test
- Verification of binary operations
- Verification of Euler’s theorem, its extension and Jacobian
- Introduction to SciLab / Maxima and commands
- Computation of inverse of a matrix using Cayley – Hamilton theorem
- Tracing of Cartesian curves
- Verification of real and imaginary parts of the analytic function being harmonic
- Evaluation of contour integral by Cauchy’s integral formula and plot of the solutions
BSc Maths Subjects in Detail
Modern mathematical ideas and methods are mostly covered in BSc Maths courses. The various subjects covered under each subject are represented in the table below:
| BSc Maths Subjects | Topics Covered |
| Algerba, Trigonometry and Differential Calculus | Tangent and Normals of a Conic (Cartesian and Parametric form), Orthoptic Locus, Chords in terms of given points, Polar Co-ordinates, Polar Equation of a line , Polar Equation of Circle, Polar Equation of Conic ,Polar Equations of tangents and Normals , Chords of Conic Sections. |
| Real Analysis | Continuous Functions, Combinations of Continuous Functions, Continuous Functions on Intervals, Uniform Continuity,The Derivative, The Mean Value Theorem, L' Hospital Rules, Taylor's Theorem. |
| Calcus | Expansion of functions using Maclaurin's theorem and Taylor's theorem, Concavity and points of inflexion, Curvature and Evolutes, Length of arc as a function derivatives of arc, Partial derivatives, The Chain rule, Extreme values and saddle points, Lagrange multipliers. |
| Set theory and Theory of Equations | Equivalence relations, Partition of a Set, Arbitrary unions and intersections. De Morgan’slaws, Countable and Uncountable sets, Fundamental Theorem of Algebra, Relation between the roots and coefficient of general polynomial equation in one variable, Synthetic division. |
| Vector Calculus | Dot and cross product of vectors, Ordinary derivatives of vectors, Continuity and differentiability of a vector function, Derivatives of sum, Dot product, Cross product and Triple product of vectors, Constant vector functions, Partial differentiation of vector functions. |
| Infinite Series | Infinite series and examples. Convergent, Divergent and Oscillatory series, Partial sum of series. Series of non-negative terms, Necessary and sufficient condition for convergence, Cauchy’s general principle of convergence. Geometric series. The Pseries(Harmonic), Comparison tests (different forms),D’Alembert’s ratio test, Raabe’s test,. |
| Fourier Transforms | Periodic functions,Fourier series of functions of period 2π and 2l. Fourier series of odd and even functions, half range sine and cosine series |
| Mechanics | Velocities and accelerations in Cartesian, polar, and intrinsic coordinates. Equations of motion referred to a set of rotating axes. Motion of a projectile in a resisting medium. The motion of a particle in a plane under different laws of resistance. |
BSc Mathematics Course Structure
The BSc Mathematics syllabus combines a thorough understanding of mathematical theories and enriches knowledge through problem-solving, hands-on exercises, seminars, and projects, among other activities. The course structure contains the following details for BSc Mathematics:
- VI semesters
- Seminars
- Practical Learning
- Skill Oriented courses
- Project Submission
BSc Mathematics Teaching Methodology and Techniques
BSc Mathematics syllabus has implications for a wide range of fields, including finance, computer science, physics, chemistry, and biology. Through both conventional and contemporary teaching techniques, candidates receive comprehensive understanding. There is a list of techniques given below:
- Demonstration
- Synthetic method
- Problem-solving exercises
- Mentorship/ Supervision
BSc Maths Projects
The BSc Mathematics project is an assignment that all students must finish by the end of the semester. Students should therefore view their projects as the perfect opportunity to integrate the material they have learned throughout the BSc Mathematics syllabus. The following are some project topics:
- Computable reducibility of equivalence relations,
- Dynamic sampling versions of popular SPC charts for big data analysis
- Classification of vertex-transitive structures
- Latin squares and their applications to cryptography
BSc Mathematics Reference Books
The most popular books for a BSc mathematics course are listed below:
|
Books |
Author |
|
Basic Abstract Algebra |
Bhattacharya |
|
Calculus and Analytic Geometry |
GB Thomas and RL Jinney |
|
Functional Analysis and Applications |
S. Kesavan |
|
Contemporary Abstract Algebra |
Joseph A. Gallian |
|
Calculus |
Single and Multivariable by Hughes and Hallet |
Top B.Sc Mathematics Colleges
BSc Mathematics Fee Structure
FAQs
What is the BSc Maths Syllabus?
The BSc Mathematics syllabus consists of core and elective subjects such as Analytical Geometry of three dimensions, Differential Equations, PR, to name a few.
What is the syllabus of B Sc 1st year mathematics?
BSc maths syllabus 1st year contains calculus, algebra, real analysis, and differential equations.
Is BSc maths easy to pass?
No, the course contains various complex matters and theories for which a candidate must have utmost determination and dedication.
Is BSc maths tough than Btech?
BTech is more tough that BSc Mathemaitcs, as one needs to have proper idea of technology along with maths, physics and chemistry.