# BSc Maths Syllabus

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Do you have a knack for solving complex mathematical equations? Do you have exceptional analytical reasoning? Are you more interested in finding the limits of integration than yours? If yes, then, BSc Mathematics is an ideal course for you! Bachelor of Science in Mathematics is one of the most opted BSc courses after 12th Science and Commerce which will equip you with knowledge pertaining to various mathematical methods and their applications. Covering various facets of Geometry, Trigonometry, Statistics, and Calculus, the course will also help you apply the principles outside the purview of Mathematics in domains like Computer Science and Finance. To know more about the coursework, here is a blog that sheds light on the BSc Maths syllabus in detail.

## Subjects in BSc Mathematics

Before we delve into the syllabus of the BSc Mathematics, let us first take a glance at the subjects you will come across in the course:

Note: This is for indicative purposes. The BSc Maths syllabus and subjects can vary from one university to another.

## BSc Maths Syllabus: First Year

In the first year of the course, you will be taught a variety of important topics spanning across 4-5 subjects having different course objectives. The major emphasis will be laid on making you understand the concepts pertaining to planetary motion using calculus and geometric properties of conic sections. Differential equations, mathematical modelling, and their various applications will also be covered in the 1st year. Listed below are the subjects incorporated in the BSc Maths syllabus for the first year:

#### Calculus

• Derivatives for Graphing and Applications
• Sketching and Tracing of Curves
• Volume and Area of Surfaces
• Vector Calculus and its Applications

#### Algebra

• Theory of Equations and Complex Numbers
• Equivalence Relations and Functions
• Basic Number Theory
• Row Echelon Form of Matrices

#### Real Analysis

• Real Number System R
• Properties of R
• Infinite Series
• Sequences in R

#### Differential Equations

• Population Growth Models
• Differential Equations and Mathematical Modeling
• Second and Higher-Order Differential Equations
• Analysis of Mathematical Models

## BSc Maths Syalbus: Second Year

As you begin your journey for the second year of the course, you will get familiar with a variety of topics that will build a sound foundation for the third year. Key concepts of calculus, continuity, limits, as well as a study of valued functions, will be taught. You will get to study in detail the symmetry of groups along with the fundamental theory of groups and their homomorphism. Here are some important subjects which form an integral part of the BSc Maths syllabus of the second year:

#### Theory of Real Functions

• Continuous Functions and their Properties
• Limits of Functions
• Taylor’s Theorem and its Applications
• Derivability and its Applications

#### Group Theory- I

• Subgroups and Cyclic Groups
• Groups and its Elementary Properties
• Group Homomorphism
• Permutation Groups and Lagrange’s Theorem

#### Multivariate Calculus

• Double and Triple Integrals
• Calculus of Functions of Several Variables
• Extrema of Functions of Two Variables and Properties of Vector Field
• Green’s, Stoke’s and Gauss Divergence Theorem

#### Partial Differential Equations

• First Order PDE and Method of Characteristics
• The Cauchy Problem and Wave Equations
• Mathematical Models and Classification of 2nd Order Linear PDE
• Method of Separation of Variables

## BSc Maths Syllabus: 3rd Year

The final year of your BSc Mathematics journey will constitute topics like Metric Spaces, Contour Integral, Numerical Analysis, etc through which you will be equipped with a deep understanding of metrics of closed or open balls along with various other areas of study. Furthermore, you will gain an in-depth understanding of the essential topics of abstract algebra and their applications. Enlisted below are the major subjects in BSc Maths syllabus of 3rd year:

#### Metric Spaces

• Topology and Metric Spaces
• Basic Concepts
• Connectedness and Compactness
• Continuity & Uniform Continuity in Metric Spaces

#### Group Theory- II

• Automorphism and Properties
• Group Action
• Sylow Theorems and Applications
• External and Internal Direct Products of Groups

## BSc Maths Syllabus Lucknow University

Here are the important subjects from the Lucknow University syllabus-

• Matrices & Differential Equations
• Differential Calculus
• Integral Calculus
• Geometry
• Algebra
• Mathematical Methods
• Mechanics
• Differential Equations

## BSc Maths Syllabus Calicut University

• Foundations of Mathematics
• Informatics and Mathematical Softwares
• Calculus
• Calculus and Analytic Geometry
• Vector Calculus
• Abstract Algebra
• Basic Mathematical Analysis
• Numerical Methods
• Real Analysis
• Complex Analysis
• Differential Equations
• Number Theory and Linear Algebra
• Open Course offered by other departments

Hopefully, through this blog, you are now familiar with the BSc Maths syllabus and the course content. If you aspire to get your career started in this field but are unsure of the admission process, then our experts at Leverage Edu will lend you a helping hand. From helping you draft an impressive SOP to completing the application formalities, assistance will be provided throughout the admission journey!

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