First Semester · BCA 104

Mathematics-I Notes

A dedicated BCA World study page for this subject, aligned to the TU BCA 2025 curriculum units.

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BCA 104 · Mathematics-I

3 credits · 5 curriculum units · First Semester

How to study this subject

For each unit, learn the definition, understand the process, practise one example, and finish by explaining the concept in your own words. Use the model questions after completing the unit notes.

Unit-by-unit notes

Sets, relations, functions, and mathematical induction

Revise the definition, components, workflow, common examples, and practical use of sets, relations, functions, and mathematical induction. Relate it to a small problem or case study from Mathematics-I.

Define the key terms and identify the main components.
Draw or describe the workflow, architecture, formula, or process where relevant.
Connect the idea to a practical BCA example and revise common advantages or limitations.

Matrices, determinants, systems of linear equations, and vectors

Revise the definition, components, workflow, common examples, and practical use of matrices, determinants, systems of linear equations, and vectors. Relate it to a small problem or case study from Mathematics-I.

Define the key terms and identify the main components.
Draw or describe the workflow, architecture, formula, or process where relevant.
Connect the idea to a practical BCA example and revise common advantages or limitations.

Limits, continuity, differentiation, and applications

Revise the definition, components, workflow, common examples, and practical use of limits, continuity, differentiation, and applications. Relate it to a small problem or case study from Mathematics-I.

Define the key terms and identify the main components.
Draw or describe the workflow, architecture, formula, or process where relevant.
Connect the idea to a practical BCA example and revise common advantages or limitations.

Integration techniques and applications

Revise the definition, components, workflow, common examples, and practical use of integration techniques and applications. Relate it to a small problem or case study from Mathematics-I.

Define the key terms and identify the main components.
Draw or describe the workflow, architecture, formula, or process where relevant.
Connect the idea to a practical BCA example and revise common advantages or limitations.

Sequences, series, and introductory differential equations

Revise the definition, components, workflow, common examples, and practical use of sequences, series, and introductory differential equations. Relate it to a small problem or case study from Mathematics-I.

Define the key terms and identify the main components.
Draw or describe the workflow, architecture, formula, or process where relevant.
Connect the idea to a practical BCA example and revise common advantages or limitations.

Model questions for BCA 104

Short answerDefine sets, relations, functions, and mathematical induction and mention two important uses.

Define sets, relations, functions, and mathematical induction and mention two important uses. Answer using a definition, structured explanation, relevant example, and conclusion.

Long answerExplain matrices, determinants, systems of linear equations, and vectors with a suitable diagram, example, or step-by-step method.

Explain matrices, determinants, systems of linear equations, and vectors with a suitable diagram, example, or step-by-step method. Answer using a definition, structured explanation, relevant example, and conclusion.

Practical / applicationApply limits, continuity, differentiation, and applications to solve a small Mathematics-I problem. State your assumptions and conclusion.

Apply limits, continuity, differentiation, and applications to solve a small Mathematics-I problem. State your assumptions and conclusion. Answer using a definition, structured explanation, relevant example, and conclusion.