CTEVT Diploma First Semester Engineering Mathematics I syllabus

 CTEVT Diploma First Semester Engineering Mathematics I : 

Hello Namaskar Everyone, Today i will tell you about the Engineering mathematic-I subject in details in this article so don't miss any of the topic . It will help you in exam. And some of the topic are as follow : 

1. Engineering Mathematics-I Subject 

2. Engineering Mathematics-I Syllabus 

3. Engineering Mathematic-I reference Books

4. Important chapter , Question paper and how to pass the exam . 

Engineering Mathematic-I  : 

This subject is related to numerical problem. This is the most hardest subject because most of the students are fail in this subject. In exam the total marks come in Engineering Mathematic-I subject is 80 and the Pass marks is 32. And 20 marks is for practical and which is given by your class Teacher. You can see this subject in CTEVT diploma first semester in Nepal. Some of the content is similar to your secondary school level subject.

CTEVT Diploma First Semester Engineering Mathematics-I syllabus : 

 Unit 1. Trigonometry: [12 hours]

1.1. Review of trigonometric ratios:

        -Basic trigonometric formulae

        -Identities and conditional identities.

1.2. Trigonometric equations:

        -Periodicity of trigonometric functions

        -General solutions of the following equations:

        -Sin x = k , cos x = k and Tan x = k and using trigonometric equations.

1.3. Inverse circular functions:

        -Domain and their graphs

        -Formulae involving inverse circular functions

        -Simple identities and equations involving circular functions

1.4. Properties of triangles: 

        -The sin law

        -The cosine law 

        -The projection law

        -The half angle formulae 

        -The area of a triangle 

        -The encircles and ex-circles of a triangle

Unit 2. Coordinate Geometry: [12 hours]

2.1 Straight lines:

        -The three standard forms of equations of a line.

        -The linear equation: ax + by + c = 0.

        -Any line through the intersection of two lines.

        -Concurrency of lines.

2.2 Pair of straight lines:

        -Angle between two lines

        -Bisectors of angles between two lines 

        -Pair of lines 

        -Homogeneous equation of second degree 

        -General equation of second degree representing two lines 

        -Angle between a pair of lines 

        -Bisectors of the angles for a line pair 

        -Lines joining the origin to the points of intersection of a curve and a line 

2.3. Circle:

        -Standard equation

        -General form

        -Tangents and normal

2.4. Parabola: 

        -Standard equation

        -Tangents and normal

Unit 3. Algebra: [12 hours]

3.1. Progressions:

        -A.P., G.P. and H.P.

3.2. Permutations and combinations

3.3. The binomial theorem for any index 

3.4. Series: 

        -Exponential & logarithmic 

3.4. Equations: 

        -Quadratic & polynomial

Unit 4. Set relation and function: [8 hours]

4.1 Idea of set, set notations, set operations,

4.2. Venn diagram, 

4.3. The set of real members and its subsets. 

4.4. The absolute value of a real number.

4.5. Functions- algebraic and transcendental. 

4.6. Graphs of simple function

Unit 5. Calculus: [16 hours]

5.1. Limit of community. 

5.2. Derivatives from definition of simple functions like:

        -xn, (ax+b)n, sin (ax +b), eax, ax, and log x.21

5.3. Derivatives of sum, difference, product and quotient of functions, chain  rule, 

parametric and implicit functions

5.4. Integration, Rules for finding integrals.

5.5. Standard integrals and their uses.

5.6. Definite integrals- definition and evaluation.

5.7. Definite integral as limit of sum.

CTEVT Diploma First Semester Engineering Mathematics-I Question model : 

You should prepare your practice as per the hours of the chapter . And you should have some model question paper came in CTEVT exams . If you have not question paper of  CTEVT Diploma Engineering Mathematics-I subject then click in this link : 

You need to practice more and more because many student fail in exam so give most of the time to this subject.

And if you want to just pass the exam then practice the old question paper because most of the question is similar and repeatedly came in exam . 

CTEVT Diploma First Semester Engineering Mathematics-I reference Book : 

1. A Text book of Statistics – (B.C. Bajracharya)

2. Elementary Statistics – (H. C. Saxena)

3. Statistical Methods – (Mrigendralal Singh)