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Second Semester · BCA 154

Mathematics-II Notes

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

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BCA 154 · Mathematics-II

3 credits · 5 curriculum units · Second Semester

← All notesOpen model question bank →

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

01

Complex numbers, sequences, series, and power series

Revise the definition, components, workflow, common examples, and practical use of complex numbers, sequences, series, and power series. Relate it to a small problem or case study from Mathematics-II.

  • 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.
02

Partial differentiation and multiple integrals

Revise the definition, components, workflow, common examples, and practical use of partial differentiation and multiple integrals. Relate it to a small problem or case study from Mathematics-II.

  • 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.
03

Vector calculus and coordinate geometry

Revise the definition, components, workflow, common examples, and practical use of vector calculus and coordinate geometry. Relate it to a small problem or case study from Mathematics-II.

  • 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.
04

Probability distributions and descriptive statistics

Revise the definition, components, workflow, common examples, and practical use of probability distributions and descriptive statistics. Relate it to a small problem or case study from Mathematics-II.

  • 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.
05

Differential equations and mathematical modelling

Revise the definition, components, workflow, common examples, and practical use of differential equations and mathematical modelling. Relate it to a small problem or case study from Mathematics-II.

  • 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 154

Short answerDefine complex numbers, sequences, series, and power series and mention two important uses.

Define complex numbers, sequences, series, and power series and mention two important uses. Answer using a definition, structured explanation, relevant example, and conclusion.

Long answerExplain partial differentiation and multiple integrals with a suitable diagram, example, or step-by-step method.

Explain partial differentiation and multiple integrals with a suitable diagram, example, or step-by-step method. Answer using a definition, structured explanation, relevant example, and conclusion.

Practical / applicationApply vector calculus and coordinate geometry to solve a small Mathematics-II problem. State your assumptions and conclusion.

Apply vector calculus and coordinate geometry to solve a small Mathematics-II problem. State your assumptions and conclusion. Answer using a definition, structured explanation, relevant example, and conclusion.