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Topic outline
- General
General
Instructions/Guideline for the course:
- All the students registered for this course have to enroll in Moodle
- Students can find all the course materials from Moodle.
- All the students have to submit the soft copy of their "Assignment" in Moodle under assignment section created here and for this they will be graded here.
- One discussion or feedback forum is created under each of the lecture Students have to give their feedback on these forum and marks will be given for their feedback
- Any announcement regarding the class will be posted on Moodle. So they have to keep themselves always active on Moodle.
- All the quizzes and presentation will be held on face to face class and may be few of the class will be held on online (Moodle) and it will be announced before the class
- The question pattern and the syllabus for the quizzes, midterm and final exam is given here under each of the section (quizzes, midterm and final)
- There are midterm and final exam preparation forum under these sections where students can discuss with each other about their midterm and final exam syllabus, any problem regarding the exam etc.
Course Information
Aims and Objectives of the Course
Course Rationale:
This is an introductory course in mathematics which is designed to develop and solidify basic arithmetic and algebra skills that will be required in future math courses. The course content deals with introduction to algebra, trigonometry, differential calculus, integral calculus etc. Topics also include the arithmetic of integers and rational numbers, the use of arithmetic properties to simplify algebraic expressions, solving algebraic equations up to degree two, and elements of graphing. This course is designed to equip students with the tools necessary to be successful in university level.
Course Objectives:
After completing this course, the student should be able to:
- understand basic concept of number system
- solve radical equations, equations with rational exponents and equations involving absolute value
- define and derive properties of exponential and logarithmic functions and solve equations involving exponential and logarithmic expressions
- distinguish between the function forms of linear, quadratic, polynomial, rational functions, composite functions and find roots of quadratic functions and polynomial functions of various degrees
- solve quadratic equations by factoring, completing the square, and by the quadratic formula
- decompose rational expressions into partial fractions
- understand the basic concepts of differential and integral calculus.
Course Outcomes (CO's)
Upon successful completion of this course, students will be able to:
CO1: understand numbers, way of representing numbers, relationships among numbers, and number systems
CO2: demonstrate algebraic facility with algebraic topics including linear, quadratic, exponential, logarithmic, and trigonometric functions
CO3: solve equations and inequalities, both algebraically and graphically
CO4: compute derivatives of algebraic, trigonometric, inverse trigonometric, exponential, logarithmic functions
CO5: solve integration problems using basic techniques of integration, including method of substitution, integration by parts and partial fractions
Name: Masuma ParvinID: 710000662 Senior Lecturer in Mathematics Dept.: General Educational Development Daffodil International University
Office: Room no.204, AB3 buildingGED faculty room, Daffodil Smart City. Mobile: 01716217371 Email:parvin.ged@daffodilvarsity.edu.bd |
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Grade Policy and Marks Distribution
Additional Information:
WhatsApp Number: 01716217371
Telegram Group Link:
Section:MAT111_U
Section:MAT111_X
Section:MAT111_Y
- Attendance
- Introduction Class
- Chapter-1(Number System)
Chapter-1(Number System)
In this Chapter we will discuss about basic concept of number, classification of number with definition and example and define factor, multiple of a number. We will discuss prime factorization of a number using factor trees, division method and multiplication method and explain how prime factorization is used in real life. We will discuss how to find the HCF and LCM of a given set of numbers by using of prime factors or a factor tree. We will also illustrate complex numbers on an Argand diagram and will find out the modulus and argument of a complex number.
After completing this lesson, students will be able to:
- know the number system
- understand the divisor and factor
- know the prime factorization
- know LCM and GCD
- simplify rational numbers for LCM and HCF
- find modulus and argument of a complex number
- External Link on Prime Factorisation
External Link on Prime Factorisation
- Self Test
This topic
- Gamified Quizzes
- Forum Discussion
- Forum Discussion(Number System)
Forum Discussion(Number System)
Solve the Given Exercises and Submit the PDF File.
- Week-2:Chapter -2
Week-2:Chapter -2
Chapter 2
In this chapter we will discuss basic concept of radical and exponent and illustrate the relationship between the radical and exponential forms of an equation. We will work with operations involving radical numbers. we will also solve equations involving radicals and to be able to justify the solutions.
After completing this chapter, students will be able to:
- understand the radicals and exponents
- know the properties of radicals and exponents
- simplify radical expressions to simplest form
- add, subtract, multiply and divide radical expressions
- evaluate expressions containing exponents
- solve equations involving radicals and exponents
- Assignment-I( Submission)
Assignment-I( Submission)
Assignment-I on Radicals and Exponents
Last date of submission:
Please Solve the Given Exercises and Submit the PDF file.
- Quiz-1
Quiz-1
Total Marks-15; Start from : 6.30pm
Time:40 minutes.
Date:15 FEBRUARY,2022(Tuesday)
MCQ types
Syllabus: 1. Number System(including Complex number)
2.Complex Number
3. Radicals &Exponents.
- Quiz-2
Quiz-2
Syllabus:
1.Logarithms
2. Polynomials
Mode: Offline
Exam Date:
For V Section :27.02.2022(Sunday)
For Y section: 27.02.2022(Sunday)
- Chapter-3
Chapter-3
In this chapter we will discuss basic concept of logarithm and laws of logarithm. We will convert logarithmic equations to exponential equations and vice versa. We will also discuss how to simplify logarithmic expressions and will solve problems using the laws of logarithms.
After completing this chapter, students will be able to:
- define 'logarithm'
- identify logarithmic notation
- recognise and apply properties of logarithms
- convert logarithmic equations to exponential equations and vice versa
- simplify logarithmic expressions
- solve exponential and logarithmic equations
External Video link on Introduction to Logarithm
Forum Discussion on Logarithm
Solve these exercises and submit the PDF file.
- Chapter-4
Chapter-4
In this lesson we will give basic idea of polynomial function. We will discuss how to determine the degree of a polynomial function and how to determine the value of the function with the use of the Remainder theorem. We will use the factor theorem to determine the factors of a polynomial. We will also use Descartes’ rule of signs to determine the maximum number of positive and negative roots of a polynomial equation.
After completing this chapter, students will be able to:
- recognize a polynomial function
- distinguish a polynomial function from among different types of functions.
- determine the degree of a polynomial function.
- determine the value of the function with the use of the Remainder Theorem.
- use the Factor Theorem to determine the factors of a polynomial.
- use Descartes’ Rule of Signs to determine the maximum number of positive and negative roots of a polynomial equation.
- Midterm Examination
Midterm Examination
Total-25 Marks
Syllabus of Mid Term Exam
- Number System(Complex Number included)
Instructions:
1. The question will be opened at 09.00 AM, 16 November 2021.
2. You will get 2:30 (two and half) hours to answer and upload your answer scripts.
3. Front page will contain the student Information properly.
4. Mention the ID and page number on each page.
5. Continuation of an answer should not break.
6. Rename your file as MAT111-Section-ID-mid
7. Upload the PDF version of your answer scripts.
8. The exam will be closed at 11:30 am,16 November 2021.
- Presentation Submission
Presentation Submission
Instructions for your PRESENTATION:
Dear Students, here you find your presentation topics. You can select any one topic for your presentation. Prepare your video (language English) regarding the selected topic, save the video as your ID_Name_Section (example: 211-15-12345_XYZ_A), and upload it here. The duration of the video should not be more than 3 minutes and your dress-up should be decent. You must complete your presentation on or before 18 April,2022
- Real life Application of Basic Mathematics
- Chapter-5
Chapter-5
In this lesson we will give idea about proper and improper fractions, fundamental theorem of algebra and different rules of partial fractions with example. We will discuss how to express an algebraic fraction as the sum of its partial fractions.
After completing this chapter, students will be able to:
- distinguish between proper and improper fractions
- identify the types of partial fractions
- express a given algebraic fraction as the sum of its partial fractions
- use the cover up rule
- express an improper algebraic fraction as a proper fraction before expressing it in partial fractions
- Week-8,Chapter-6
Week-8,Chapter-6
In this lesson, we will give an idea of Pascal’s Triangle and its patterns. We will discuss how to expand binomial expression using Pascal’s Triangle.
Chapter-6
In this lesson, we will discuss how to compute binomial coefficients by formula and how to expand binomial expression using binomial theorem.
Lecture Contents
- Reference Reading
- Quiz-3
Quiz-3
Syllabus:
1. Differentiation
2.Basic Techniques of Integration
Part-I,Part-II,Part-III
Date:11.12.2021
Satday
Date:
From:8.00-8.50 pm
- Assignment-2
Assignment-2
Please click below to get the exercises of Assignment-02 .After solving take the picture of your solution and submit the PDF file.
Last Date of Submission:
- Chapter-7
- Chapter-8
Chapter-8
In this lesson we will give idea of derivative from first principles and give an intuitive explanation of the process of taking a limit. We will discuss how to find derivative of a function using first principle. We will discuss how to compute derivatives of algebraic, trigonometric, inverse trigonometric, exponential, logarithmic functions using first principle. We will also discuss how to apply various rules of differentiation for finding derivative of a function.
After completing this chapter, students will be able to:
- distinguish function and relation
- know the concept of derivative
- represent derivative of a function geometrically
- get idea of limit
- find derivative of some functions using first principle's of derivative
- apply various rules of differentiation for finding derivative of a function.
- Chapter-9:Integration
Chapter-9:Integration
Objectives
In this lesson, we will give a basic idea of integration. We will also discuss some techniques of integration for example. To find the integral value of a function using the method of substitution and the integral value of a function using integration by parts and partial fractions.
Outcomes
- Students will be able to explain integration and integrating rules
- Able to apply various techniques to evaluate indefinite integrals
- Able to apply various techniques to evaluate definite integrals
- Able to find the general formula to evaluate indefinite integrals
Forum Discussion
- Final Assessment
Final Assessment
Exam Date:04.09.21
Start Time: 9:00 AM-12.30PM
Save your file as pdf and rename it as MAT111-Section-ID
Syllabus of Final Assessment:
syllabus of Final Assessment:
Written Part and Short Answer
1. Differentiation
2. Integration
3. Pascals Law and Binomial Theorem
4. Logarithms
5 . Partial Fraction
- My Online Session
- For the Feedback
- Makeup Quiz
Makeup Quiz
This quiz is applicable only to those who missed the First,2nd quiz, or 3rd quiz, or any one of the quizzes
Date: 19.04.2021 at 10 .00pm
Syllabus: (i) Derivatives
(ii) Integration
Time Limit:50 minutes
- Class recordings of MAT111_X_Spring2022
Class recordings of MAT111_X_Spring2022
- Class recordings of MAT111_W_Spring2022
Class recordings of MAT111_W_Spring2022
- Class recordings of MAT111_U_Spring2022
Class recordings of MAT111_U_Spring2022
- Class recordings of MAT111_V_Spring2022
Class recordings of MAT111_V_Spring2022
- Class recordings of MAT111_Y_Spring2022
Class recordings of MAT111_Y_Spring2022