Adama Science and Technology University
1 School: Applied Natural Science Department: Applied Mathematics
2 Course Basic
Category
Course Name Applied Mathematics I
Course Code: Math1101
3 Synopsis: This course covers vectors , matrices & determinants, limit and
continuity, derivatives & their applications, integrals, integration
techniques and their applications
4 Academic Staff:
5 Semester and Semes I Year: 1
Year offered: ter:
6 Credit Hour: 4
7 Prerequisite: None
8 Course Learning Outcome ( CLO): At the end of the course the student will be able to :
CLO-1 Apply the basic principles of vectors to solve the problems that needs concepts
of vector operations
CLO-2 Solve the system of linear equations by using matrix and determinant
CLO-3 Evaluate basic limit and continuity problems
CLO-4 Analysis the extremum values of a given system by using basic rules and
principles of differentiation
CLO-5 Use integration techniques and principles to solve integral problems ; determine
the volume, area , arc-length, surface area and center of mass of an object
CLO-6 Apply rules and principles of vectors, matrix, determinantw, derivative and
integration to solve various applications problems in Engineering
9 Mapping of the course Learning Outcomes to the program Learning Outcomes, Teaching
Methods and Assessment
Program Learning Outcomes (PO)
Assessment
Teaching
Methods
Assignment II
Assignment I
Outcomes
Learning
Course
Test II
PO-10
(CLO)
Test I
Final
PO-1
PO-2
PO-3
PO-4
PO-5
PO-6
PO-7
PO-8
PO-9
Quiz
PBL
GD
L T
CLO-1 √ √ √ √ √ √ √ √
CLO-2 √ √ √ √ √ √ √ √
CLO-3 √ √ √ √ √ √ √
CLO-4 √ √ √ √ √ √ √ √
CLO-5 √ √ √ √ √ √ √ √
CLO-6 √ √ √ √ √ √ √
Indicate the relevancy between the CLO and PO by ticking “√”on the appropriate relevant
box
10 Transferable Skills (if applicable)
(Skills learned in the course of study which can be useful and utilized in other settings)
1 Mathematical skills that used to solve different practical engineering problems
11 Distribution of Student Learning Time (SLT)
Teaching and Learning Activities Total
CLO Guided learning Guided Independen (SLT)
Course Content Outline (F2F) Learning t Learning
(NF2F) (NF2F)
L T P O
CLO- 1 5 1 8 24
Chapter One:
1, 0
Vector
CLO-6
1.1 Definition of vectors
1.2 Vector operations
1.3 Norm of a vector
1.4 Scalar product
1.5 Projection of Vectors
1.6 Cross product
1.7 Lines and planes in
space
Chapter Two: CLO- 1 8 1 12 34
Matrix and 2, 3
determinant CLO-6
2.1 Definition of matrix
and types of matrix
2.2 Matrices Operations
2.3 Transpose of matrix
2.4 Elementary row
Operations
2.5 Echelon form and
rank of a matrix
2.6 Inverse of a matrix
and its Properties
2.7 Determinant of a
matrix and its
properties
2.8 Solving systems of
linear
Equations
2.8.1 Cramer’s rule
2.8.2 Gaussian’s method
2.8.3 Inverse matrix
method
CLO- 7 4 1 7 19
Chapter Three:
3,
Limit and Continuity
CLO-6
3.1 Basic Concepts of 2 1
limit
3.2 Limit Theorems 1 1 1
3.3 Asymptotes 1 1
3.4 Formal definition of 1 2 2
Limits
3.5 Continuity 1 1
3.6 Intermediate value 1 1 1
Theorem
Chapter Four: CLO- 1 1 1 9 34
Derivative and Its 4, 4 0
Applications CLO-6
4.1 Definition of 3 2 2
derivatives and rules of
differentiation
4.2 Higher order 2 2
Derivatives
4.3 Implicit 3 2 1
Differentiation
4.4 Derivatives of 4 3 1 1 2
inverse Functions
4.4.1 Inverse
trigonometric functions
and their derivatives
4.4.2 Inverse hyperbolic
functions and their
derivatives
4.5 Applications of 6 3 1 2
derivative
4.5.1 L’Hopital’s Rule
4.5.2 Related rate
4.5.3 Extremum values
of a function
4.5.4 First and second
derivative tests
4.5.5 Concavity and
inflection points
4.5.6 Curve Sketching
Chapter Five: CLO- 1 9 1 15 37
Integration and Its 5, 2
Applications CLO-6
5.1 Anti-Derivatives;
Indefinite Integrals
5.2 Techniques of
Integration
5.3 Definite Integrals;
Fundamental Theorem
of Calculus
5.4 Improper Integrals
5.5. Application of
Integration
Total 5 148
6
Assessment
Continuous Percentage Total-50(%) F2F NF2F SL
Assessment
1 Quiz 10 √ 1
2 Tests (2) 20 √ 2
3 Assignments(2) 20 √ 6
4 Total 9
Final Exam Percentage 50 F2F NF2F SLT
(%)
Final Exam 50 √ 3
Grand Total SLT 160
L = Lecture, T = Tutorial, PBL = Problem based learning, GD = Group Discussion, F2F =
Face to Face, NF2F = Non Face to Face
Note: indicates the CLO based on the CLO’s numbering in item 9.
12 Special 1 Choose an item.
requirements 2 Choose an item.
and resources
3 Choose an item.
to deliver the
course (e.g. 4 Choose an item.
software, 5 Choose an item.
computer lab,
simulation
room …etc.)
13 Text book and 1 Robert Ellis and Denny Gulick, Calculus with analytic geometry,
reference: 6thed, Harcourt Brace Jovanovich, publishers
(note: ensure 2 Howard Anton, Elementary Linear Algebra with Applications 9th
the latest ed.
edition 3 Howard Anton, Calculus with Analytic Function, 5th ed.
/publication) 4 James Stewart, Calculus Early Transcendental,6th ed.
5 Robert Ellis and Denny Gulick, Calculus with analytic geometry,
6thed, Harcourt Brace Jovanovich, publishers
