Basic Mathematics (BCI102) crash course, Online BCA, Semester 1:
This subject covers matrices and determinants, limits and continuity, differentiation, integration, first and second order differential equations, vectors, and…
- 17 video lessons
- 7h 31m
- Study notes
- 85 quiz questions
- Assignment
17 lessons in Basic Mathematics
Each lesson pairs one topic with a hand-picked video, trimmed to the part that teaches it.
About this subject
This subject covers matrices and determinants, limits and continuity, differentiation, integration, first and second order differential equations, vectors, and the straight line and circle in coordinate geometry. After it you will be able to solve linear systems using Cramer's rule and matrix inversion, differentiate and integrate common functions, solve basic differential equations, and work with vectors, lines and circles.
- 1
Matrices and Types of Matrices
Module I, Matrix: Matrices: Matrix, Sub matrix, types of matrices, such as symmetric, square, diagonal matrices, singular and nonsingular matrices
BASICS OF MATRICES IN HINDI LECTURE 1 UNIT MATRIX· TIKLE'S ACADEMY OF MATHS· 32 min
Study notes 5 quiz questionsWatch lesson - 2
Matrix Addition, Subtraction and Multiplication
Module I, Matrix: Addition, Subtraction, multiplication of matrices
Lecture -2 | Matrix operation| Addition, Subtraction and Multiplication of matrices· Raj Economics and Commerce classes (RECC)· 24 min
Study notes 5 quiz questionsWatch lesson - 3
Determinant and Inverse of a Matrix
Module I, Matrix: determinant, inverse of matrix
Matrices | Adjoint, Inverse and Determinant Of Matrices | Linear Algebra of IIT-JAM, GATE· Dr.Gajendra Purohit - GATE / IIT JAM / CSIR NET· 18 min
Study notes 5 quiz questionsWatch lesson - 4
Solving Linear Equations: Cramer's Rule and Matrix Inversion
Module I, Matrix: matrix equation, Solution by Cramer's rule, Matrix inversion Method
Cramer's rule of matrix|solution of system of linear Equations | part-1|BBA maths sem1· Dream Maths· 18 min
Study notes 5 quiz questionsWatch lesson - 5
Limits and Continuity
Module II, Continuity and Differentiation: Limit and Continuity: Concept of limit, definition of continuity, kinds of discontinuity, simple problem based on continuity
Introduction to limits and continuity| Limit and continuity Part-1|BBA Maths|BCA Maths· Dream Maths· 24 min
Study notes 5 quiz questionsWatch lesson - 6
Derivatives of Common Functions
Module II, Continuity and Differentiation: Differentiation of function, Derivative of some common functions, polynomial, rational, exponential, logarithmic and trigonometric functions
Introduction to differentiation|how to find derivatives|BBA Maths |BCA Maths|B.COM Maths· Dream Maths· 27 min
Study notes 5 quiz questionsWatch lesson - 7
Successive Differentiation and Leibnitz Theorem
Module II, Continuity and Differentiation: Successive differentiation, Leibnitz theorem
Successive Differentiation|Leibnitz's Theorem|Lecture 03|ENGINEERING MATHEMATICS|PRADEEP GIRI SIR· Pradeep Giri Academy· 12 min
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Integration Basics: Antiderivatives of Simple Functions
Module III, Integration: Integration as inverse process of differentiation, integration of simple functions
Introduction to Integration|Fundamental Formulas|BBA|BCA|B.COM|B.TECH|Dream Maths· Dream Maths· 46 min
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Integration by Substitution
Module III, Integration: method of change of variable and substitution for integrals
Integration Using Substitution - Indefinite Integration | Class 11/12/IIT-JEE Maths· Magnet Brains· 45 min
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Integration by Parts and Partial Fractions
Module III, Integration: integration by parts and partial fraction
Introduction to Integration by Parts|Integration|BBA|BCA|BCOM|BTECH|Dream Maths· Dream Maths· 25 min
Study notes 5 quiz questionsWatch lesson - 11
Definite Integrals
Module III, Integration: definite integrals
Definite Integral - Calculus | Definite Integral Properties For GATE, IIT-JAM, PGT , GIC· Dr.Gajendra Purohit· 21 min
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First Order Differential Equations
Module IV, Differential equations: Differential equations of first order
Differential Equation First Order and Degree | Methods & Solution· Dr.Gajendra Purohit· 21 min
Study notes 5 quiz questionsWatch lesson - 13
Second Order Differential Equations with Constant Coefficients
Module IV, Differential equations: Differential equations of second order with constant coefficients
Linear Higher Order Differential Equation | CF & PI |Lecture-I· Dr.Gajendra Purohit· 32 min
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Vector Algebra Basics
Module V, Vectors and 2-Dimensional Geometry: Vector, Vector Algebra: addition, subtraction, Scalar Multiplication, Magnitude
Vector Algebra Class 12 Maths | NCERT Chapter 10 | CBSE JEE | One Shot |हिंदी में· LearnoHub - Class 11, 12· 33 min
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Dot and Cross Product with Applications
Module V, Vectors and 2-Dimensional Geometry: Vector multiplication, Simple application of Vectors
Dot Product of vectors | Cross Product of vectors | Properties of Dot Product & Cross Product· Engineering Funda· 12 min
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Straight Line: Slope and Intercept Form
Module V, Vectors and 2-Dimensional Geometry: Straight line and Circle: Concept of straight line, slope form, intercept form
Equation of a Straight Line | Slope Intercept Form | Point Slope Form | Class 11 Ch 9 Straight Lines· Teaching Booth· 35 min
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Circle Problems in Coordinate Geometry
Module V, Vectors and 2-Dimensional Geometry: problem based on Circle
CIRCLE | 2D GEOMETRY - Full Course By GP Sir· Dr.Gajendra Purohit· 26 min
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Assignment
Basic Mathematics Problem Set: Matrices, Calculus, Differential Equations and Geometry
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Hand-picked video lessons
17 short lessons, each with the best YouTube explanation we could find, trimmed to the part that matters.
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Study notes
17 lessons come with a summary, key points, key terms and takeaways for quick revision.
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Quizzes
85 questions across the course, with the right answer and why, the moment you pick.
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Assignments
1 subject assignments with clear tasks, so you practise what each subject actually asks of you.
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Notebook
Write notes beside the video, stamped with the exact time, and jump back to that moment later.
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Progress that follows you
Completed lessons, quiz scores and where you stopped, saved to your account on every device.
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Live chat
A members-only live chat beside every lesson: doubts, tips, stickers and GIFs with your batch. One ₹19 pass opens every live chat.
The Online BCA live chat. Study together, live.
A live chat right beside the video, shared by everyone studying Online BCA. Ask a Basic Mathematics doubt mid-lesson, share a shortcut, celebrate a finished semester.
- Live chat beside every lesson
- One live chat for all of Online BCA
- Members-only stickers & GIFs
- One ₹19 pass opens every live chat
Online BCA live chat
Anyone else finding Basic Mathematics tricky? 😅
Lesson 2 cleared it up for me. Watch it before the quiz
Doing it now, thanks!
Starting Computer Concepts and Problem Solving tonight if anyone wants to go together
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Basic Mathematics: common questions
This subject covers matrices and determinants, limits and continuity, differentiation, integration, first and second order differential equations, vectors, and the straight line and circle in coordinate geometry. After it you will be able to solve linear systems using Cramer's rule and matrix inversion, differentiate and integrate common functions, solve basic differential equations, and work with vectors, lines and circles. It's the Basic Mathematics subject of Online BCA, Semester 1, in 17 lessons: Matrices and Types of Matrices; Matrix Addition, Subtraction and Multiplication; Determinant and Inverse of a Matrix; Solving Linear Equations: Cramer's Rule and Matrix Inversion; Limits and Continuity; Derivatives of Common Functions; Successive Differentiation and Leibnitz Theorem; Integration Basics: Antiderivatives of Simple Functions; Integration by Substitution; Integration by Parts and Partial Fractions; Definite Integrals; First Order Differential Equations; Second Order Differential Equations with Constant Coefficients; Vector Algebra Basics; Dot and Cross Product with Applications; Straight Line: Slope and Intercept Form; Circle Problems in Coordinate Geometry.
Yes. Every video lesson is free to watch without an account. A free login unlocks study notes, quizzes, the assignment, a notebook and progress that syncs across devices.
About 7h 31m of video across 17 lessons, plus time for notes and quizzes. Go at your own pace; your place is saved.
Yes: “Basic Mathematics Problem Set: Matrices, Calculus, Differential Equations and Geometry”. It comes after the last lesson, with a brief, clear tasks and how the work is judged.
A members-only live chat beside the video, shared by everyone studying Online BCA, where learners ask doubts, share tips and react with stickers and GIFs. One ₹19 pass, paid once from your InsideEdge wallet, opens the live chat for every degree.
No. It's a crash course to help you understand and revise the subject quickly. Use it alongside your official study material and assignments.