1
A rectangle has length 12 cm and width 7 cm. What is its area?
- A.19 cm²
- B.38 cm²
- C.84 cm²
- D.168 cm²
Answer: 84 cm²
Area of a rectangle = length × width = 12 × 7 = 84 cm².
Mathematics: Mensuration · foundation
MAT-FSC-001 · Mathematics · FSc / FA
FSc Pre-Engineering Mathematics
Teacher-ledGroup batch · up to 18OnlineIn-person at home
Trigonometry, vectors, conic sections, calculus, and differential equations for FSc Pre-Engineering. Builds the algebraic stamina required for ECAT and NUST entry tests.
Last updated Jul 2026English
Sign in to unlock full content
You can browse the curriculum below. Sign in and enrol to access lessons, resources, and quizzes.
Sign inCourse at a glance
FSc Pre-Engineering Mathematics is a FSc / FA Mathematics course from Al Noor Tuition, taught as a live batch of up to 18 students, delivered online or at home. It runs to 21 modules and 34 lessons. Follow a teacher-led schedule, prepare before class, and use your course room for study and assignments. Check the curriculum below for the lessons and activities included. Fees are PKR 10,000.
How you will learn
Learn with a teacher
Follow a teacher-led schedule, prepare before class, and use your course room for study and assignments.
- 1Open your course room
- 2Prepare and attend class
- 3Practise and track progress
How this course is taught
Explore the learning format and the material available in this course.
Live classes with your teacher
Scheduled live sessions in the Al Noor online classroom — shared whiteboard, screen sharing, and questions answered as they come up.
Questions and course support
Ask your teacher questions in the course room between sessions, and reach our advisors on WhatsApp for anything about scheduling, fees, or changing your batch.
Progress you can see
Track completed activities in your course room and review assessment results in your gradebook.
Study on any device
Classes, recordings, and tests work in any browser on a phone, tablet, or laptop — and this course can be taken online or in person.
What this course covers
A quick view of the syllabus areas included in this course. Open the detailed curriculum below for individual lessons, quizzes, assignments, and resources.
Module 1 · 1 item
FSc Part 1 — Chapter 1 — Number Systems
Real and complex numbers and their operations.
Module 2 · 2 items
FSc Part 1 — Chapter 2 — Sets, Functions and Groups
Sets and operations, functions, and an introduction to groups.
Module 3 · 2 items
FSc Part 1 — Chapter 3 — Matrices and Determinants
Matrix operations, determinants and solving systems of equations.
Module 4 · 2 items
FSc Part 1 — Chapter 4 — Quadratic Equations
Solving quadratics, nature of roots and cube roots of unity.
Module 5 · 1 item
FSc Part 1 — Chapter 5 — Partial Fractions
Resolving rational expressions into partial fractions.
Module 6 · 2 items
FSc Part 1 — Chapter 6 — Sequences and Series
Arithmetic, geometric and harmonic sequences and series.
Module 7 · 2 items
FSc Part 1 — Chapter 7 — Permutation, Combination and Probability
Counting arrangements and selections, and basic probability.
Module 8 · 2 items
FSc Part 1 — Chapter 8 — Mathematical Induction and Binomial Theorem
Proof by induction and the binomial theorem.
Module 9 · 1 item
FSc Part 1 — Chapter 9 — Fundamentals of Trigonometry
Angle measure and trigonometric functions of any angle.
Module 10 · 1 item
FSc Part 1 — Chapter 10 — Trigonometric Identities
Sum, difference, double-angle and half-angle identities.
Module 11 · 1 item
FSc Part 1 — Chapter 11 — Trigonometric Functions and their Graphs
Periodicity, domain, range and graphs of the trigonometric functions.
Module 12 · 1 item
FSc Part 1 — Chapter 12 — Application of Trigonometry
Solving triangles with the laws of sines, cosines and tangents.
Module 13 · 1 item
FSc Part 1 — Chapter 13 — Inverse Trigonometric Functions
Defining and using the inverse trigonometric functions.
Module 14 · 1 item
FSc Part 1 — Chapter 14 — Solution of Trigonometric Equations
Solving trigonometric equations and finding general solutions.
Module 15 · 2 items
FSc Part 2 — Chapter 1 — Functions and Limits
Functions and their types, limits and continuity.
Module 16 · 3 items
FSc Part 2 — Chapter 2 — Differentiation
Derivatives, rules of differentiation and their applications.
Module 17 · 2 items
FSc Part 2 — Chapter 3 — Integration
Indefinite and definite integrals, techniques and applications.
Module 18 · 2 items
FSc Part 2 — Chapter 4 — Introduction to Analytic Geometry
Coordinate geometry of the straight line and pairs of lines.
Module 19 · 1 item
FSc Part 2 — Chapter 5 — Linear Inequalities and Linear Programming
Graphing inequalities and optimising a linear objective.
Module 20 · 2 items
FSc Part 2 — Chapter 6 — Conic Sections
Circles, parabolas, ellipses and hyperbolas.
Module 21 · 2 items
FSc Part 2 — Chapter 7 — Vectors
Vectors in the plane and space, and the dot and cross products.
Mathematics tutors for FSc / FA
Showing 5 of 200Verified tutors who specialise in Mathematics and teach at FSc / FA. Enrol in this course, or request one of them directly.
Abdul Majid
Mathematics Tutor · Msc geophysics
Online18+ yrs
Zain Sheikh
English and All Commerce subjects
OnlineIn-person15+ yrs
Fahad Bhatti
Physics and Math Specialist · MPhil Physics
OnlineIn-person12+ yrs- RA
Rabeea Ali
Quran and all subjects at primary and secondary level, and biology, physics, Urdu, Islamiyat and English to matriculation
Online12+ yrs - AE
Asad elahi khan khalil
Mathematics and computer science
Online11+ yrs
Course content
21 modules · 34 lessonsFull lesson titles shown below. Open lesson content unlocks after your enrolment payment is verified.
- 1 item
Module 1
FSc Part 1 — Chapter 1 — Number Systems
Real and complex numbers and their operations.
- Real & complex numbersLesson
- 2 items
Module 2
FSc Part 1 — Chapter 2 — Sets, Functions and Groups
Sets and operations, functions, and an introduction to groups.
- Sets & operationsLesson
- Functions & groupsLesson
- 2 items
Module 3
FSc Part 1 — Chapter 3 — Matrices and Determinants
Matrix operations, determinants and solving systems of equations.
- Matrices & operationsLesson
- Determinants & systems of equationsLesson
- 2 items
Module 4
FSc Part 1 — Chapter 4 — Quadratic Equations
Solving quadratics, nature of roots and cube roots of unity.
- Solving quadratics & nature of rootsLesson
- Cube roots of unity & related equationsLesson
- 1 item
Module 5
FSc Part 1 — Chapter 5 — Partial Fractions
Resolving rational expressions into partial fractions.
- Resolving into partial fractionsLesson
- 2 items
Module 6
FSc Part 1 — Chapter 6 — Sequences and Series
Arithmetic, geometric and harmonic sequences and series.
- Arithmetic sequences & seriesLesson
- Geometric & harmonic sequencesLesson
- 2 items
Module 7
FSc Part 1 — Chapter 7 — Permutation, Combination and Probability
Counting arrangements and selections, and basic probability.
- Permutations & combinationsLesson
- ProbabilityLesson
- 2 items
Module 8
FSc Part 1 — Chapter 8 — Mathematical Induction and Binomial Theorem
Proof by induction and the binomial theorem.
- Mathematical inductionLesson
- Binomial theoremLesson
- 1 item
Module 9
FSc Part 1 — Chapter 9 — Fundamentals of Trigonometry
Angle measure and trigonometric functions of any angle.
- Angles & trigonometric functionsLesson
- 1 item
Module 10
FSc Part 1 — Chapter 10 — Trigonometric Identities
Sum, difference, double-angle and half-angle identities.
- Sum & difference identitiesLesson
- 1 item
Module 11
FSc Part 1 — Chapter 11 — Trigonometric Functions and their Graphs
Periodicity, domain, range and graphs of the trigonometric functions.
- Graphs of trigonometric functionsLesson
- 1 item
Module 12
FSc Part 1 — Chapter 12 — Application of Trigonometry
Solving triangles with the laws of sines, cosines and tangents.
- Solving trianglesLesson
- 1 item
Module 13
FSc Part 1 — Chapter 13 — Inverse Trigonometric Functions
Defining and using the inverse trigonometric functions.
- Inverse trigonometric functionsLesson
- 1 item
Module 14
FSc Part 1 — Chapter 14 — Solution of Trigonometric Equations
Solving trigonometric equations and finding general solutions.
- Solving trigonometric equationsLesson
- 2 items
Module 15
FSc Part 2 — Chapter 1 — Functions and Limits
Functions and their types, limits and continuity.
- Functions & their typesLesson
- Limits & continuityLesson
- 3 items
Module 16
FSc Part 2 — Chapter 2 — Differentiation
Derivatives, rules of differentiation and their applications.
- The derivative & rules of differentiationLesson
- Derivatives of standard & implicit functionsLesson
- Applications of differentiationLesson
- 2 items
Module 17
FSc Part 2 — Chapter 3 — Integration
Indefinite and definite integrals, techniques and applications.
- Indefinite integrals & techniquesLesson
- Definite integrals & applicationsLesson
- 2 items
Module 18
FSc Part 2 — Chapter 4 — Introduction to Analytic Geometry
Coordinate geometry of the straight line and pairs of lines.
- The straight lineLesson
- Pairs of lines & transformation of axesLesson
- 1 item
Module 19
FSc Part 2 — Chapter 5 — Linear Inequalities and Linear Programming
Graphing inequalities and optimising a linear objective.
- Linear inequalities & linear programmingLesson
- 2 items
Module 20
FSc Part 2 — Chapter 6 — Conic Sections
Circles, parabolas, ellipses and hyperbolas.
- Circle & parabolaLesson
- Ellipse & hyperbolaLesson
- 2 items
Module 21
FSc Part 2 — Chapter 7 — Vectors
Vectors in the plane and space, and the dot and cross products.
- Vectors in the plane & spaceLesson
- Dot & cross productLesson
Try a few Mathematics questions
Free to use, with the answer and a worked explanation on each one — from the same question bank our teachers build for their students.
Course details
- Subject
- Mathematics
- Level
- FSc / FA
- Delivery
- OnlineIn-person
- Schedule
- Tue–Thu–Sat · 6:00–7:30 PM
- Tuition format
- Group batchUp to 18 learners, fixed weekly schedule.
FSc Pre-Engineering Mathematics — questions parents ask
What is included in the FSc Pre-Engineering Mathematics course?
Follow a teacher-led schedule, prepare before class, and use your course room for study and assignments. The curriculum lists 21 modules and 34 learning activities. Browse the outline for the available lessons, resources, and assessments.
Can I revisit the course material?
Published lessons and available recordings can be revisited in your course room while you have access. Follow any module prerequisites shown in the curriculum. Check the course outline for the recordings and reading material included.
How do I practise and track progress?
Use the quizzes and assignments listed in the curriculum to practise. Follow each activity for its instructions and deadlines. Completed activities appear in your course progress, and assessment results appear in your gradebook.
Is FSc Pre-Engineering Mathematics taught online or at home?
This course is delivered online or at home. Online classes run in the Al Noor live classroom with a shared whiteboard and screen sharing, and work in any browser on a phone, tablet, or laptop. In-person tuition depends on tutor availability in your city and area — send us your location and we will confirm.
How much does FSc Pre-Engineering Mathematics cost?
The fee is PKR 10,000. There are no hidden charges; anything extra, such as extra one-to-one hours, is agreed with you first.
How do I enrol?
Open the course page and choose "Enrol & pay", then upload your bank transfer receipt. An admin verifies the payment — usually the same working day — and the full course unlocks in your LMS account. If you would rather speak to someone first, message us on WhatsApp at 0336 4440496 and an advisor will walk you through it.
Who teaches FSc Pre-Engineering Mathematics?
A verified Mathematics teacher experienced with FSc / FA is assigned to this course. All Al Noor teachers are screened for qualifications and teaching experience, and you can ask for a female tutor or request a specific tutor from the list on this page.
Ready to Find the Right Tutor for Your Child?
Join hundreds of families across Pakistan who have found trusted, verified home and online tutors through Al Noor Tuition.
No obligation·Free advisor consultation·24–48 hour response