Calculus Key Concepts: Limits, Continuity, Derivatives, and Applications

INTRODUCTORY SOCIOLOGY — CHAPTERS 1–5 The Study Guide Key concepts, theories, and methods for mastering the social world Ch. 1 — Sociology Ch. 2 — Research Ch. 3 — Culture Ch. 4 — Socialization Ch. 5 — Groups 01 CHAPTER ONE Sociology and the Real World What Is Sociology? Sociology is the systematic, scientific study of human society, social relationships, and social institutions. It examines how group membership and social forces shape individual behavior, beliefs, and life chances — using the sociological imagination (C. Wright Mills) to connect personal troubles to larger historical and structural forces. Micro vs. Macro Sociology micro Microsociology Focuses on small-scale, face-to-face interactions: how individuals communicate, negotiate meaning, and create social reality in everyday situations. Example: a conversation between two people. macro Macrosociology Focuses on large-scale social structures, institutions, and broad patterns across societies. Example: how capitalism shapes inequality across a nation. Major Theoretical Perspectives Structural Functionalism Society is a system of interrelated parts (institutions) that each serve a function to maintain stability and order. Dysfunction disrupts equilibrium. Key figures: Durkheim, Parsons. Conflict Theory Society is characterized by competition and inequality. Those with power exploit those without; social change comes through struggle. Key figure: Marx. Weberian Theory Emphasizes the role of ideas, culture, and meaning (not just economics) in shaping social life. Introduces stratification by class, status, and party; the concept of rationalization and bureaucracy. Key figure: Weber. Symbolic Interactionism People act based on the meanings they attach to objects and others, meanings that arise through social interaction and are maintained through interpretation. Key figures: Mead, Blumer. micro Postmodernism Rejects grand narratives and universal truths; argues that reality is socially constructed, knowledge is fragmented, and power shapes what counts as truth. Skeptical of science's neutrality. Key figures: Foucault, Baudrillard. Midrange Theory Seeks to build limited, testable theories about specific phenomena rather than sweeping explanations of all of society. Bridges abstract theory and empirical research. Key figure: Merton. 02 CHAPTER TWO Studying Social Life: Research Methods Quantitative vs. Qualitative Research Quantitative Uses numerical data and statistical analysis to test hypotheses and identify patterns across large samples. Examples: surveys with Likert scales, census data, experiments with control/treatment groups. Qualitative Generates rich, descriptive, non-numerical data to understand meaning, experience, and context in depth. Examples: ethnography, in-depth interviews, focus groups, content analysis of texts. Steps of the Scientific Method Identify a research problem or question Review existing literature on the topic Formulate a hypothesis (a testable prediction) Design a research methodology and collect data Analyze the data Draw conclusions and report findings (inviting replication) Six Research Methods — Strengths & Weaknesses Method Description Strengths Weaknesses Ethnography / Participant Observation Researcher immerses in a social setting to observe behavior firsthand Deep insight; captures context; reveals hidden norms Time-intensive; small scale; researcher bias; ethical issues of access Interviews Structured, semi-structured, or unstructured conversations to gather in-depth perspectives Rich qualitative detail; flexible; clarification possible Interviewer effect; social desirability bias; hard to generalize Surveys Standardized questionnaires administered to large samples Efficient; large-scale; quantifiable; cheap Superficial; question wording bias; low response rates; can't capture complexity Existing Sources Analysis of historical records, official statistics, media, documents, or prior studies Non-reactive; access to historical data; cost-effective Data may be incomplete, biased, or collected for other purposes Experiments Manipulates an independent variable in controlled conditions to measure effects Establishes causality; controls for confounds; replicable Artificial setting; ethical constraints; demand characteristics; limited scope Social Network Analysis Maps and measures relationships and information flows among individuals or groups Reveals structural patterns invisible in individual-level data; visual and quantitative Data collection is complex; boundary specification problems; privacy concerns Pitfalls & Ethical Issues Validity & Reliability: Ensuring a study measures what it claims to and produces consistent results Sampling Bias: Non-representative samples skew findings Researcher Bias: Personal values and assumptions can distort data collection and interpretation Informed Consent: Participants must voluntarily agree based on full knowledge of the study Confidentiality & Anonymity: Protecting the identities and privacy of participants Harm Prevention: Research must not expose participants to physical, psychological, or social harm Deception: Deceiving subjects (e.g., Milgram) raises serious ethical concerns even when scientifically useful 03 CHAPTER THREE Culture Defining Culture Culture is the totality of shared beliefs, values, norms, symbols, language, material objects, and practices that members of a society learn and transmit across generations. Ethnocentrism Judging another culture by the standards of one's own, viewing one's culture as superior. Can lead to misunderstanding and discrimination. Cultural Relativism Understanding a culture on its own terms, without imposing outside judgments. Promotes open-minded cross-cultural comparison. Components of Culture Symbols: Anything that carries shared meaning (flags, words, gestures) Language: The primary vehicle for transmitting culture; shapes perception (Sapir-Whorf hypothesis) Values: Broad, shared standards of what is good, desirable, or important Norms: Specific rules of behavior — folkways (informal), mores (moral norms), and laws (formalized) Material Culture: Physical objects created and used by a society (tools, buildings, clothing) Non-material Culture: Intangible elements — beliefs, values, ideas, customs Subcultures & Countercultures in the U.S. A subculture shares the dominant culture's overall values but maintains distinct norms or practices. A counterculture actively opposes or rejects core values of the dominant culture. Subcultures: LGBTQ+ communities Amish communities Hip-hop culture Gamer culture College Greek life Countercultures: 1960s hippie movement Militia movements Punk movement Anti-consumerism groups Processes of Cultural Change Discovery: Recognizing and understanding something previously unknown Invention: Creating new tools, ideas, or social patterns Diffusion: Spreading cultural elements from one culture to another Cultural Imperialism: Dominant cultures overpower or displace local ones (often via media or globalization) Acculturation: A minority group adopts elements of a dominant culture 04 CHAPTER FOUR Socialization, Interaction, and the Self Nature vs. Nurture Human behavior is shaped by both genetics (biological predispositions, temperament) and social environment (culture, interaction, learning). Sociologists emphasize that even traits with biological bases are expressed and interpreted through social contexts. Studies of feral children and cases of extreme isolation demonstrate that human potential requires social interaction to develop. Socialization & Social Isolation Socialization is the lifelong process by which individuals learn the norms, values, behaviors, and social skills appropriate to their society. Cases of social isolation (e.g., children raised in severely deprived environments) show that without social contact, children fail to develop language, emotional regulation, and basic cognitive skills — demonstrating that the "self" is fundamentally social in origin. Theories of the Self Cooley — "Looking-Glass Self" We develop our self-concept by imagining how others perceive us, then internalizing those imagined judgments. The self is a reflection of social feedback. Mead — "I" and "Me" The self has two parts: the spontaneous I and the socialized Me. Through play and games, children learn to take on the role of others and internalize the "generalized other" (society's expectations). Goffman — Dramaturgical Model Social life is like a theatrical performance. We manage impressions in "front stage" behavior and relax norms "backstage." The self is a performance, not a fixed essence. Agents of Socialization Family: The primary agent; instills foundational values, language, and identity from birth Schools: Teach not only academic skills but the "hidden curriculum" — punctuality, obedience, competition Peer Groups: Increasingly important in adolescence; shape attitudes, norms, and sense of belonging outside family Media: Pervasive shaper of cultural norms, gender roles, beauty standards, and political attitudes Statuses, Roles, and Role Conflict Ascribed status: Assigned at birth, involuntary (race, sex, birth order) Achieved status: Earned through effort or choice (occupation, education) Master status: One status that overrides all others (e.g., felon, celebrity) Role conflict: Occurs when incompatible demands arise from two different statuses (e.g., parent vs. employee) Role strain: Tension within a single role when its demands are contradictory (e.g., a manager who must be both friend and disciplinarian) 05 CHAPTER FIVE Separate and Together: Life in Groups Primary vs. Secondary Groups Primary Groups Small, intimate, emotionally close groups with enduring relationships. Members value the relationship for its own sake. Examples: family, close friends, a tight-knit sports team. Secondary Groups Larger, more impersonal, and goal-oriented. Relationships are instrumental. Examples: a workplace, a university class, a professional association. Group Size, Cohesion, Prejudice & Discrimination Dyads (2 people): Most intimate but fragile — collapses if one leaves Triads (3 people): More stable; coalitions can form; a third party can mediate or divide Larger groups: Greater stability but less intimacy; formalization of rules becomes necessary Cohesion: High cohesion strengthens commitment and performance but can lead to groupthink In-groups & Out-groups: Defining "us" vs. "them" fuels prejudice (negative attitudes) and discrimination (unequal treatment) against out-group members Social Influence & Conformity — Three Classic Experiments Asch Conformity Studies (1950s) Participants gave obviously wrong answers on a line-comparison task when confederates unanimously did so first — showing powerful pressure to conform even when the correct answer was clear. Milgram Obedience Studies (1960s) Participants administered what they believed to be dangerous electric shocks on an authority figure's orders — revealing alarming levels of obedience to legitimate authority. Zimbardo Stanford Prison Experiment (1971) College students assigned roles of "guard" or "prisoner" quickly conformed to those roles so intensely the study had to be stopped — illustrating how situational context shapes behavior. Group Composition & Leadership Diversity: Diverse groups tend to produce more creative solutions but can experience more conflict initially Leadership styles: Authoritarian (top-down, efficient in crisis); Democratic (collaborative, higher satisfaction); Laissez-faire (minimal direction, works with highly self-motivated groups) Instrumental leaders focus on task completion; expressive leaders maintain group morale and cohesion Bureaucracy & McDonaldization Bureaucracy (Weber) is a formal organization characterized by a clear hierarchy of authority, written rules and procedures, specialization of labor, and impersonality. It is the dominant organizational form of modern society. McDonaldization (Ritzer) extends Weber's rationalization thesis: modern society increasingly organizes social life around four principles modeled on fast food — efficiency (the optimal method), calculability (emphasis on quantity over quality), predictability (standardized outcomes), and control (substituting technology for human judgment). The irony: the rational system produces irrational outcomes (e.g., dehumanization, loss of creativity, homogenization of culture)

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IKT218 prøveeksamen handler i stor grad om hvordan operativsystemer fungerer, hvordan x86-arkitekturen er bygget opp, hvordan minne styres, hvordan interrupts fungerer, og hvordan sentrale systemkomponenter som GDT, IDT, PIC og PIT brukes. For å forstå eksamen godt må man først forstå de grunnleggende byggesteinene. Et operativsystem er hovedprogrammet som styrer hele datamaskinen. Det fungerer som mellomledd mellom brukerprogrammer og maskinvaren. Programmer som Chrome, Spotify eller et tekstredigeringsprogram kommuniserer vanligvis ikke direkte med CPU, RAM eller harddisk. I stedet bruker de operativsystemet, som organiserer ressurser, fordeler prosessortid, styrer minne, håndterer filer og kommuniserer med hardware via drivere. Operativsystemets viktigste rolle er altså å styre systemets ressurser på en sikker og organisert måte. Når et program kjører, kalles det en prosess. En prosess er altså et aktivt program i kjørende tilstand. Hvis et program bare ligger lagret på harddisken, er det bare en fil, men når det åpnes og bruker systemressurser, blir det en prosess. Hver prosess får sitt eget minneområde og sine egne ressurser, slik at prosesser holdes adskilt fra hverandre. Dette gjør systemet mer stabilt, fordi ett program normalt ikke skal kunne ødelegge et annet. Multitasking betyr at operativsystemet kan håndtere flere prosesser samtidig. Hvis man for eksempel har både nettleser, musikkprogram og kodeeditor åpne samtidig, håndterer operativsystemet flere prosesser parallelt ved å bytte raskt mellom dem. Multithreading betyr derimot at én enkelt prosess kan ha flere tråder, altså flere arbeidsoppgaver, som kjører samtidig innenfor samme program. For eksempel kan en nettleser ha én tråd som spiller video, én som håndterer lyd og én som registrerer tastaturinput. System calls er en sentral del av operativsystemet. System calls er grensesnittet mellom brukerprogrammer og operativsystemet. Når et program ønsker å lese en fil, skrive til disk eller bruke hardware, må det be operativsystemet om dette gjennom system calls. Dette gir sikkerhet og kontroll fordi programmer ikke får fri direkte tilgang til hele maskinen. Device drivers, eller enhetsdrivere, er programvare som lar operativsystemet kommunisere med hardware. Uten drivere ville ikke operativsystemet forstå hvordan det skal snakke med tastatur, skjerm, harddisk eller andre enheter. Driveren fungerer som en oversetter mellom operativsystemet og den fysiske enheten. Minnehåndtering er også et hovedtema. Operativsystemet må fordele minne til programmer, beskytte minnet og bruke det effektivt. Dette gjøres blant annet gjennom paging, segmentation og virtual memory. Paging deler minnet inn i sider, segmentation deler det inn i segmenter med regler og grenser, mens virtual memory lar programmer bruke virtuelle adresser som operativsystemet oversetter til faktiske fysiske adresser i RAM. Virtual memory gir bedre sikkerhet, bedre organisering og gjør at systemet kan håndtere minne mer fleksibelt. I x86-arkitektur starter systemet i real mode. Real mode er en enkel 16-bits modus med direkte tilgang til fysisk minne og lite beskyttelse. Dette brukes typisk under oppstart. Protected mode er mer avansert og brukes i moderne systemer. Protected mode gir 32-bits funksjonalitet, minnebeskyttelse, virtual memory og tilgangskontroll. Overgangen fra real mode til protected mode er en viktig del av systemoppstart og OS-utvikling. CPU-en bruker registers, som er små og svært raske lagringsplasser inni prosessoren. General-purpose registers som EAX, EBX, ECX og EDX brukes til generell databehandling. Segment registers som CS, DS og SS brukes til segmentering, mens control registers som CR0 og CR3 brukes til kontroll av CPU-modus og minnestyring. For eksempel brukes CR0 til å aktivere protected mode. GDT, eller Global Descriptor Table, er en systemomfattende tabell som beskriver minnesegmenter. Den inneholder informasjon som base address, limit, access rights og granularity. GDT brukes for å definere hvordan minneområder skal brukes og beskyttes. LDT, eller Local Descriptor Table, fungerer lignende, men er knyttet til én spesifikk oppgave eller prosess. IDT, eller Interrupt Descriptor Table, brukes derimot til interrupts. IDT forteller CPU-en hvilken kode som skal kjøres når et interrupt eller en exception oppstår. Interrupts er signaler som forteller CPU-en at noe krever oppmerksomhet. Hardware interrupts kommer fra hardware, som tastatur eller mus. Software interrupts kommer fra programmer. IRQ, Interrupt Request, er selve forespørselen fra hardware. Når et tastatur registrerer et tastetrykk, sendes for eksempel en IRQ. ISR, Interrupt Service Routine, er koden som faktisk kjøres som respons på interruptet. PIC, Programmable Interrupt Controller, håndterer og prioriterer interrupts fra flere hardware-enheter før de sendes videre til CPU-en. Dette gjør at systemet kan organisere hvilke interrupts som skal behandles først. PIT, Programmable Interval Timer, er systemets timer. PIT genererer periodiske interrupts som brukes til klokke, timing og task scheduling. Dette er avgjørende for at operativsystemet skal kunne holde styr på tid og fordele CPU-tid mellom oppgaver. Når det gjelder minne i programmering, er stack og heap sentrale begreper. Stack brukes hovedsakelig til lokale variabler og funksjonskall, og styres automatisk. Heap brukes til dynamisk minneallokering, som malloc og calloc i C, og må styres mer manuelt. Hvis et program allokerer minne på heapen, men ikke frigjør det, kan det oppstå memory leaks. Compiler og linker er også viktige. Compiler oversetter kildekode til object code eller machine code. Linker kombinerer object files og biblioteker til ett ferdig kjørbart program. Static linking betyr at bibliotekkode bygges inn i programmet ved kompilering, mens dynamic linking betyr at biblioteker kobles til under runtime. C preprocessor er et tidlig steg i C-kompilering og håndterer blant annet #include, #define og conditional compilation før selve kompileringen skjer. I kodegjenkjenning er det spesielt viktig å kjenne igjen GDT-strukturer. Hvis man ser felt som limit_low, base_low, base_middle, access, granularity og base_high, handler det svært sannsynlig om oppsett av en GDT entry. For denne prøveeksamenen er det spesielt viktig å kunne forklare forskjellen mellom multitasking og multithreading, real mode og protected mode, GDT og IDT, hardware og software interrupts, stack og heap, samt static og dynamic linking. Kort oppsummert tester denne eksamenen forståelse av hvordan et operativsystem organiserer programmer, minne, hardware og CPU gjennom strukturerte mekanismer. Kjernen er operativsystemets rolle, x86-moduser, minnehåndtering, descriptor tables, interrupts og systemtiming. Hvis man forstår hvordan disse delene henger sammen som et samlet system, blir både multiple choice-spørsmål og kodeoppgaver langt lettere å forstå

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