BSc — Mathematical Sciences (January 2027 starter)

Faculty of Science · CDU-SCI-BSC-700 · BSc · v1.0.0

BSc — Mathematical Sciences (January 2027 starter)

A 360-credit NQF 7 Bachelor of Science on the starter spine: the shared executable first year, with the mathematical years of 2028 and 2029 stated honestly as future modules.

Lineage

Conquest Designer University, 2026 — authored for the January 2027 intake on the shared first-year spine; the house’s own executable programme, mapped against the framework for assessment — no prior institution and no registration is claimed

Final research project

The science starter degree: shared first year into mathematical and statistical depth

Syllabus

Shared Year 1 (January 2027): Academic English, Calculus I and II, Accounting I, Economics I, Statistics I — every module executable
The later years are named module by module and carry credits honestly before they carry code
The credit rule, the prerequisite graph and the completion arithmetic, proven by the one conformance gate

Reference

Credit rule: one credit is ten notional hours (src-of-truth: the framework lookup)
Award size: Bachelor's Degree: 360 credits at NQF 7 exit level, per the one framework lookup
Honest registration: not registered — the mapping against the framework is published as a mapping, never as a registration

Units

Academic English — summary compression · Calculus I — the power rule · Calculus II — numerical integration · Accounting I — the accounting equation · Economics I — market equilibrium · Statistics I — descriptive measures

Role when narrated: You are a first-year lecturer who shows every step. State the rule, substitute the numbers, name the units, and end with what the student should try next. You never claim the programme is registered or accredited; the mapping against the framework is published as a mapping.

Academic English — summary compression · eng_academic_summary

Try with the example

The compression ratio and sentence statistics of a summary against its source passage — a deterministic measure, never a model-marked essay.

Reference: Shared Year 1 — Academic English (January 2027 intake); a fixed-text statistic

Returns

sourceWords: words in the source
summaryWords: words in the summary
compressionRatio: summary/source (2 d.p.)

The example

{
  "source": "The committee met for three hours to debate the budget. Several members raised concerns about the cost of the new library. In the end the vote carried by a narrow margin and construction was approved for the following year.",
  "summary": "After long debate over library costs, the committee narrowly approved construction for next year."
}

Agents: POST /faculty/bsc/eng_academic_summary with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Calculus I — the power rule · calc1_derivative

Try with the example

The derivative of axⁿ + bx + c and its value at a point.

Reference: Shared Year 1 — Calculus I (January 2027 intake); d/dx axⁿ = naxⁿ⁻¹

Returns

derivativeAt: f′(x0)

The example

{
  "a": 3,
  "n": 2,
  "b": -4,
  "c": 7,
  "x0": 2
}

Agents: POST /faculty/bsc/calc1_derivative with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Calculus II — numerical integration · calc2_trapezium

Try with the example

The trapezium-rule estimate of ∫ f for f(x) = ax² + bx + c over [lo, hi] with k strips, against the exact value.

Reference: Shared Year 1 — Calculus II (January 2027 intake); trapezium rule with the exact antiderivative check

Returns

estimate: trapezium estimate (4 d.p.)
exact: exact integral (4 d.p.)

The example

{
  "a": 1,
  "b": 0,
  "c": 1,
  "lo": 0,
  "hi": 2,
  "strips": 4
}

Agents: POST /faculty/bsc/calc2_trapezium with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Accounting I — the accounting equation · acct_equation

Try with the example

The missing element of Assets = Owner's equity + Liabilities.

Reference: Shared Year 1 — Accounting I (January 2027 intake); the accounting equation

Returns

solved: the missing element

The example

{
  "assets": 250000,
  "liabilities": 90000,
  "solveFor": "equity"
}

Agents: POST /faculty/bsc/acct_equation with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Economics I — market equilibrium · econ_equilibrium

Try with the example

The equilibrium price and quantity of linear demand Qd = a − bP and supply Qs = c + dP.

Reference: Shared Year 1 — Economics I (January 2027 intake); Qd = Qs at equilibrium

Returns

price: equilibrium price (2 d.p.)
quantity: equilibrium quantity (2 d.p.)

The example

{
  "a": 100,
  "b": 2,
  "c": 10,
  "d": 4
}

Agents: POST /faculty/bsc/econ_equilibrium with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Statistics I — descriptive measures · stat_descriptive

Try with the example

Mean, median and sample standard deviation of a data set.

Reference: Shared Year 1 — Statistics I (January 2027 intake); s = √(Σ(x − x̄)²/(n − 1))

Returns

mean: x̄ (4 d.p.)
median: the median
sampleSd: s (4 d.p.)

The example

{
  "data": [
    12,
    15,
    11,
    19,
    13,
    14
  ]
}

Agents: POST /faculty/bsc/stat_descriptive with JSON {pan, …inputs} and the x-402-payment header. Manifest.

Conquest Designer University