- Programme Code 020
- Course Code BCA-181
- Course TypeCore
- Programme Bachelor’s in Computer Application
- Course Name Bridge Course Mathematics
- L – T/P – Credits 2 – 0 – 0
- Course Outcome
- CO1 Understand the various approaches dealing the data using theory of matrices
- CO2 Understand and apply the concepts of determinants
- CO3 Understand the concept of calculus such as limit, continuity and differentiability.
- CO4 Appraise and determine the correct logic and solutions for any given real world problem using application of integration& integral calculus.
- Tecniatv Playlist linkhttps://www.youtube.com/
| Unit No. | Lecture No. | Topic | Sessional Outcome | Mapping with CO | ICT Tools / Class Material (PPT ) | First Shift | Second Shift | Guest Lecture | Expert Lecture |
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| 1 | L1 | Matrices Introduction | Students will be able to understand concept of matrix | CO1 |  |
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| 1 | L2 | Symmetric and Skew Symmetric Matrices | Understand skewness and skewed symmetric matrices | CO1 | |
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| 1 | L3 | Operations on matrix Addition subtraction and multiplication | Able to do matrix operation | CO5 | |
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| 1 | L4 | Determinants of matrix | Able to solve problems of determinants | CO1, CO2 | |
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| 1 | L5 | Minor cofactor adjoint | Will be able to determine minor, cofactor and ajoint of matrix | CO5 | |
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| 1 | L6 | Solving systems of equations using matrix | Able to solve System of Linear equations | CO1, CO2 | |
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| 1 | L7 | Cramers Rule | Able to solve numericals of Cramers Rule | CO1, CO2 | |
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| 1 | L8 | Introduction to Trigonometric functions | Able to understand trignometric functions | CO3 | |
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| 1 | L9 | Degree and radiant measurement Quadrant system allied angles | Able to understand degree and radiant | CO3 | |
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| 1 | L10 | Numericals on trignometric functions | Proficiency to solve trignometric numericals | CO3 | |
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| 2 | L11 | Limits limit point properties of limit | Understand the concept of calculus such as limit | CO3 | |
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| 2 | L12 | Limits numerical | Able to solve problems of limits | CO3 | |
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| 2 | L13 | Continuity and differentiability | Understand the concept of calculus such as continuity and differentiability. | CO3 | |
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| 2 | L14 | Derivative of composite functions | Able to solve problems of composite functions | CO3 | |
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| 2 | L15 | Chain rule inverse trigonometric functions | Able to solve problems of chain rule | CO3 | |
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| 2 | L16 | Derivative of implicit functions | Able to solve problems of implicit functions | CO3 | |
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| 2 | L17 | Exponential and logarithmic functions and its derivative | Understand and solve exponential and logarithmic functions | CO3 | |
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| 2 | L18 | Second order derivative | Will be able to interpret second order derivative | CO3 | |
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| 2 | L19 | Integral as limit of sum | Able to solve integral numericals | CO4 | |
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| 2 | L20 | Rieman Sum fundamental theorem of calculus | Will be able to understand Rieman Sum fundamental theorem of calculus | CO4 | |
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| 2 | L21 | Indefinite integrals methods by substitution | Proficiency to solve indefinite integals numerical problems | CO4 | |
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| 2 | L22 | Integration by parts initial fractions algebric integration and transcendental functions | Will be able to determine the correct logic and solutions for any given real world problem using application of integration& integral calculus. | CO4 | |
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# As per Scheme & Syllabus Of Guru Gobind Singh Indraprastha University, New Delhi 2022-23 Onwards.