- BCA Courses
- BCA Overview
- BCA Sem-I Courses
- BCA Computer Fundamental
- BCA - Programming Principle
- BCA Principle of Management
- BCA Business Communication
- BCA Mathematics-I
- BCA Sem-II Courses
- BCA C Programming
- BCA Digital Electronics
- BCA Organization Behavior
- BCA Financial Accounting
- BCA Mathematics-II
- BCA Sem-III Courses
- BCA Object Oriented in C++
- BCA Data Structure in C & C++
- BCA Computer Architecture
- BCA Business Economics
- BCA Elements of Statistics
- BCA Sem-IV Courses
- BCA Computer Graphics
- BCA Operating System
- BCA Software Engineering
- BCA Optimization Technique
- BCA Mathematics-III
- BCA Sem-V Courses
- BCA Introduction to DBMS
- BCA Java & Web Design
- BCA Computer Network
- BCA Numerical Methods
- BCA Sem-VI Courses
- BCA Computer Network Security
- BCA Information System Analysis
- BCA E-Commerce
- BCA Knowledge Management
- Give Online Test
- All Test List
- C Test
- C++ Test
- Java Test
- HTML Test
- Computer Fundamental Test
- Networking Test
BCA Semester-IVth - Mathematics-III Syllabus
Here you will find the syllabus of fifth subject in BCA Semester-IVth, which is Mathematics-III.
Important - The syllabus may vary from college to college.
Mathematics-III Units
This course/subject is divided into total of 6 units as given below:
- Complex Variables
- Sequences, Series, and Convergence
- Vector Calculus
- Fourier Series
- Ordinary Differential Equations of First Order
- Ordinary Differential Equations of Second Order
Now let's expand the above listed units with its syllabus.
Unit-I Syllabus - Complex Variables
Here are the list of topics that comes under the syllabus of unit-I, that is complex variables:
- Complex Number System
- Algebra of Complex Numbers
- Polar Form
- Powers and Roots
- Functions of Complex Variables
- Elementary Functions
- Inverse Trigonometric Function
Unit-II Syllabus - Sequence, Series and Convergence
Here are the list of topics that comes under the syllabus of unit-II, that is sequence, series, and convergence:
- Sequence
- Finite and Infinite Sequences
- Monotonic Sequence
- Bounded Sequence
- Limit of a Sequence
- Convergence of a Sequence
- Series
- Partial Sums
- Convergent Series
- Theorems on Convergence of Series
- Statement
- Alternating series
- Conditional convergent
- Leibnitz Test
- Limit Comparison Test
- Ratio Test
- Cauchy's Root Test
- Convergence of Binomial and Logarithmic Series
- Raabe's Test
- Logarithmic Test
- Cauchy's Integral Test (without proof)
Unit-III Syllabus - Vector Calculus
Here are the list of topics that comes under the syllabus of unit-III, that is vector calculus:
- Differentiation of Vectors
- Scalar and Vector Fields
- Gradient
- Directional Derivatives
- Divergence and Curl and their Physical Meaning
Unit-IV Syllabus - Fourier Series
Here are the list of topics that comes under the syllabus of unit-IV, that is fourier series:
- Periodic Functions
- Fourier series
- Fourier Series of Even and Odd Functions
- Half Range Series
Unit-V Syllabus - Ordinary Differential Equations of First Order
Here are the list of topics that comes under the syllabus of unit-V, that is ordinary differential equations of first order:
- Variable Separable Method
- Homogeneous Differential Equations
- Exact Differential Equations
- Linear Differential Equations
- Bernoulli's Differential Equations
- Differential Equations of First Order and First Degree by Integrating Factor
Unit-VI Syllabus - Ordinary Differential Equations of Second Order
Here are the list of topics that comes under the syllabus of unit-VI, that is ordinary differential equations of second order:
- Homogenous Differential Equations with Constant Coefficients
- Cases of Complex Roots and Repeated Roots
- Differential Operator
- Solutions by Methods of Direct Formulae for Particular Integrals
- Solution by Undetermined Coefficients
- Cauchy Differential Equations
- Operator Method for Finding Particular Integrals
« Previous Course Next Course »
Like/Share Us on Facebook 😋